On Edge-Primitive Graphs of Order as a Product of Two Distinct Primes Article Swipe

PDF

Renbing Xiao , Xiaojiao Zhang , Hua Zhang ·

YOU? · · 2023 · Open Access · · DOI: https://doi.org/10.3390/math11183896

A graph is edge-primitive if its automorphism group acts primitively on the edge set of the graph. Edge-primitive graphs form an important subclass of symmetric graphs. In this paper, edge-primitive graphs of order as a product of two distinct primes are completely determined. This depends on non-abelian simple groups with a subgroup of index pq being classified, where p>q are odd primes.

Related Topics

Combinatorics

Mathematics

Discrete Mathematics

Enhanced Data Rates For Gsm Evolution

Line Graph

Computer Science

Concepts

Combinatorics Mathematics Graph product Chordal graph 1-planar graph Discrete mathematics Graph Indifference graph Symmetric graph Enhanced Data Rates for GSM Evolution Line graph Computer science Voltage graph Telecommunications

Metadata

Type: article
Language: en
Landing Page: https://doi.org/10.3390/math11183896
PDF: https://www.mdpi.com/2227-7390/11/18/3896/pdf?version=1694601937
OA Status: gold
Cited By: 1
References: 19
Related Works: 10
OpenAlex ID: https://openalex.org/W4386743158

All OpenAlex metadata

Raw OpenAlex JSON

OpenAlex ID: https://openalex.org/W4386743158

Canonical identifier for this work in OpenAlex
DOI: https://doi.org/10.3390/math11183896

Digital Object Identifier
Title: On Edge-Primitive Graphs of Order as a Product of Two Distinct Primes

Work title
Type: article

OpenAlex work type
Language: en

Primary language
Publication year: 2023

Year of publication
Publication date: 2023-09-13

Full publication date if available
Authors: Renbing Xiao, Xiaojiao Zhang, Hua Zhang

List of authors in order
Landing page: https://doi.org/10.3390/math11183896

Publisher landing page
PDF URL: https://www.mdpi.com/2227-7390/11/18/3896/pdf?version=1694601937

Direct link to full text PDF
Open access: Yes

Whether a free full text is available
OA status: gold

Open access status per OpenAlex
OA URL: https://www.mdpi.com/2227-7390/11/18/3896/pdf?version=1694601937

Direct OA link when available
Concepts: Combinatorics, Mathematics, Graph product, Chordal graph, 1-planar graph, Discrete mathematics, Graph, Indifference graph, Symmetric graph, Enhanced Data Rates for GSM Evolution, Line graph, Computer science, Voltage graph, Telecommunications

Top concepts (fields/topics) attached by OpenAlex
Cited by: 1

Total citation count in OpenAlex
Citations by year (recent): 2024: 1

Per-year citation counts (last 5 years)
References (count): 19

Number of works referenced by this work
Related works (count): 10

Other works algorithmically related by OpenAlex

Full payload

id	https://openalex.org/W4386743158
doi	https://doi.org/10.3390/math11183896
ids.doi	https://doi.org/10.3390/math11183896
ids.openalex	https://openalex.org/W4386743158
fwci	0.96561005
type	article
title	On Edge-Primitive Graphs of Order as a Product of Two Distinct Primes
biblio.issue	18
biblio.volume	11
biblio.last_page	3896
biblio.first_page	3896
topics[0].id	https://openalex.org/T10849
topics[0].field.id	https://openalex.org/fields/26
topics[0].field.display_name	Mathematics
topics[0].score	0.9998999834060669
topics[0].domain.id	https://openalex.org/domains/3
topics[0].domain.display_name	Physical Sciences
topics[0].subfield.id	https://openalex.org/subfields/2607
topics[0].subfield.display_name	Discrete Mathematics and Combinatorics
topics[0].display_name	Finite Group Theory Research
topics[1].id	https://openalex.org/T11797
topics[1].field.id	https://openalex.org/fields/22
topics[1].field.display_name	Engineering
topics[1].score	0.992900013923645
topics[1].domain.id	https://openalex.org/domains/3
topics[1].domain.display_name	Physical Sciences
topics[1].subfield.id	https://openalex.org/subfields/2208
topics[1].subfield.display_name	Electrical and Electronic Engineering
topics[1].display_name	graph theory and CDMA systems
topics[2].id	https://openalex.org/T11476
topics[2].field.id	https://openalex.org/fields/26
topics[2].field.display_name	Mathematics
topics[2].score	0.991599977016449
topics[2].domain.id	https://openalex.org/domains/3
topics[2].domain.display_name	Physical Sciences
topics[2].subfield.id	https://openalex.org/subfields/2608
topics[2].subfield.display_name	Geometry and Topology
topics[2].display_name	Graph theory and applications
is_xpac	False
apc_list.value	1800
apc_list.currency	CHF
apc_list.value_usd	1949
apc_paid.value	1800
apc_paid.currency	CHF
apc_paid.value_usd	1949
concepts[0].id	https://openalex.org/C114614502
concepts[0].level	1
concepts[0].score	0.7563185691833496
concepts[0].wikidata	https://www.wikidata.org/wiki/Q76592
concepts[0].display_name	Combinatorics
concepts[1].id	https://openalex.org/C33923547
concepts[1].level	0
concepts[1].score	0.7334069013595581
concepts[1].wikidata	https://www.wikidata.org/wiki/Q395
concepts[1].display_name	Mathematics
concepts[2].id	https://openalex.org/C68103157
concepts[2].level	5
concepts[2].score	0.540276825428009
concepts[2].wikidata	https://www.wikidata.org/wiki/Q569347
concepts[2].display_name	Graph product
concepts[3].id	https://openalex.org/C160446614
concepts[3].level	3
concepts[3].score	0.5018558502197266
concepts[3].wikidata	https://www.wikidata.org/wiki/Q1322892
concepts[3].display_name	Chordal graph
concepts[4].id	https://openalex.org/C102192266
concepts[4].level	4
concepts[4].score	0.4693756103515625
concepts[4].wikidata	https://www.wikidata.org/wiki/Q4545823
concepts[4].display_name	1-planar graph
concepts[5].id	https://openalex.org/C118615104
concepts[5].level	1
concepts[5].score	0.4472886323928833
concepts[5].wikidata	https://www.wikidata.org/wiki/Q121416
concepts[5].display_name	Discrete mathematics
concepts[6].id	https://openalex.org/C132525143
concepts[6].level	2
concepts[6].score	0.4313111901283264
concepts[6].wikidata	https://www.wikidata.org/wiki/Q141488
concepts[6].display_name	Graph
concepts[7].id	https://openalex.org/C74133993
concepts[7].level	3
concepts[7].score	0.42021897435188293
concepts[7].wikidata	https://www.wikidata.org/wiki/Q3115472
concepts[7].display_name	Indifference graph
concepts[8].id	https://openalex.org/C14201764
concepts[8].level	5
concepts[8].score	0.41489145159721375
concepts[8].wikidata	https://www.wikidata.org/wiki/Q1205074
concepts[8].display_name	Symmetric graph
concepts[9].id	https://openalex.org/C162307627
concepts[9].level	2
concepts[9].score	0.4122306704521179
concepts[9].wikidata	https://www.wikidata.org/wiki/Q204833
concepts[9].display_name	Enhanced Data Rates for GSM Evolution
concepts[10].id	https://openalex.org/C203776342
concepts[10].level	3
concepts[10].score	0.279057115316391
concepts[10].wikidata	https://www.wikidata.org/wiki/Q1378376
concepts[10].display_name	Line graph
concepts[11].id	https://openalex.org/C41008148
concepts[11].level	0
concepts[11].score	0.1252259612083435
concepts[11].wikidata	https://www.wikidata.org/wiki/Q21198
concepts[11].display_name	Computer science
concepts[12].id	https://openalex.org/C22149727
concepts[12].level	4
concepts[12].score	0.1247107982635498
concepts[12].wikidata	https://www.wikidata.org/wiki/Q7940747
concepts[12].display_name	Voltage graph
concepts[13].id	https://openalex.org/C76155785
concepts[13].level	1
concepts[13].score	0.0
concepts[13].wikidata	https://www.wikidata.org/wiki/Q418
concepts[13].display_name	Telecommunications
keywords[0].id	https://openalex.org/keywords/combinatorics
keywords[0].score	0.7563185691833496
keywords[0].display_name	Combinatorics
keywords[1].id	https://openalex.org/keywords/mathematics
keywords[1].score	0.7334069013595581
keywords[1].display_name	Mathematics
keywords[2].id	https://openalex.org/keywords/graph-product
keywords[2].score	0.540276825428009
keywords[2].display_name	Graph product
keywords[3].id	https://openalex.org/keywords/chordal-graph
keywords[3].score	0.5018558502197266
keywords[3].display_name	Chordal graph
keywords[4].id	https://openalex.org/keywords/1-planar-graph
keywords[4].score	0.4693756103515625
keywords[4].display_name	1-planar graph
keywords[5].id	https://openalex.org/keywords/discrete-mathematics
keywords[5].score	0.4472886323928833
keywords[5].display_name	Discrete mathematics
keywords[6].id	https://openalex.org/keywords/graph
keywords[6].score	0.4313111901283264
keywords[6].display_name	Graph
keywords[7].id	https://openalex.org/keywords/indifference-graph
keywords[7].score	0.42021897435188293
keywords[7].display_name	Indifference graph
keywords[8].id	https://openalex.org/keywords/symmetric-graph
keywords[8].score	0.41489145159721375
keywords[8].display_name	Symmetric graph
keywords[9].id	https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution
keywords[9].score	0.4122306704521179
keywords[9].display_name	Enhanced Data Rates for GSM Evolution
keywords[10].id	https://openalex.org/keywords/line-graph
keywords[10].score	0.279057115316391
keywords[10].display_name	Line graph
keywords[11].id	https://openalex.org/keywords/computer-science
keywords[11].score	0.1252259612083435
keywords[11].display_name	Computer science
keywords[12].id	https://openalex.org/keywords/voltage-graph
keywords[12].score	0.1247107982635498
keywords[12].display_name	Voltage graph
language	en
locations[0].id	doi:10.3390/math11183896
locations[0].is_oa	True
locations[0].source.id	https://openalex.org/S4210192031
locations[0].source.issn	2227-7390
locations[0].source.type	journal
locations[0].source.is_oa	True
locations[0].source.issn_l	2227-7390
locations[0].source.is_core	True
locations[0].source.is_in_doaj	True
locations[0].source.display_name	Mathematics
locations[0].source.host_organization	https://openalex.org/P4310310987
locations[0].source.host_organization_name	Multidisciplinary Digital Publishing Institute
locations[0].source.host_organization_lineage	https://openalex.org/P4310310987
locations[0].source.host_organization_lineage_names	Multidisciplinary Digital Publishing Institute
locations[0].license	cc-by
locations[0].pdf_url	https://www.mdpi.com/2227-7390/11/18/3896/pdf?version=1694601937
locations[0].version	publishedVersion
locations[0].raw_type	journal-article
locations[0].license_id	https://openalex.org/licenses/cc-by
locations[0].is_accepted	True
locations[0].is_published	True
locations[0].raw_source_name	Mathematics
locations[0].landing_page_url	https://doi.org/10.3390/math11183896
locations[1].id	pmh:oai:doaj.org/article:45e2abc09a3d4b01b6477ba3515ee3a3
locations[1].is_oa	False
locations[1].source.id	https://openalex.org/S4306401280
locations[1].source.issn
locations[1].source.type	repository
locations[1].source.is_oa	False
locations[1].source.issn_l
locations[1].source.is_core	False
locations[1].source.is_in_doaj	False
locations[1].source.display_name	DOAJ (DOAJ: Directory of Open Access Journals)
locations[1].source.host_organization
locations[1].source.host_organization_name
locations[1].license
locations[1].pdf_url
locations[1].version	submittedVersion
locations[1].raw_type	article
locations[1].license_id
locations[1].is_accepted	False
locations[1].is_published	False
locations[1].raw_source_name	Mathematics, Vol 11, Iss 18, p 3896 (2023)
locations[1].landing_page_url	https://doaj.org/article/45e2abc09a3d4b01b6477ba3515ee3a3
indexed_in	crossref, doaj
authorships[0].author.id	https://openalex.org/A5009657477
authorships[0].author.orcid
authorships[0].author.display_name	Renbing Xiao
authorships[0].countries	CN
authorships[0].affiliations[0].institution_ids	https://openalex.org/I4210110650
authorships[0].affiliations[0].raw_affiliation_string	School of Mathematics and Information Science, Nanchang Normal University, Nanchang 330032, China;
authorships[0].institutions[0].id	https://openalex.org/I4210110650
authorships[0].institutions[0].ror	https://ror.org/01sbpdt14
authorships[0].institutions[0].type	education
authorships[0].institutions[0].lineage	https://openalex.org/I4210110650
authorships[0].institutions[0].country_code	CN
authorships[0].institutions[0].display_name	Nanchang Normal University
authorships[0].author_position	first
authorships[0].raw_author_name	Renbing Xiao
authorships[0].is_corresponding	False
authorships[0].raw_affiliation_strings	School of Mathematics and Information Science, Nanchang Normal University, Nanchang 330032, China;
authorships[1].author.id	https://openalex.org/A5101627446
authorships[1].author.orcid	https://orcid.org/0000-0002-1909-7725
authorships[1].author.display_name	Xiaojiao Zhang
authorships[1].countries	CN
authorships[1].affiliations[0].institution_ids	https://openalex.org/I4210110650
authorships[1].affiliations[0].raw_affiliation_string	School of Mathematics and Information Science, Nanchang Normal University, Nanchang 330032, China;
authorships[1].institutions[0].id	https://openalex.org/I4210110650
authorships[1].institutions[0].ror	https://ror.org/01sbpdt14
authorships[1].institutions[0].type	education
authorships[1].institutions[0].lineage	https://openalex.org/I4210110650
authorships[1].institutions[0].country_code	CN
authorships[1].institutions[0].display_name	Nanchang Normal University
authorships[1].author_position	middle
authorships[1].raw_author_name	Xiaojiao Zhang
authorships[1].is_corresponding	False
authorships[1].raw_affiliation_strings	School of Mathematics and Information Science, Nanchang Normal University, Nanchang 330032, China;
authorships[2].author.id	https://openalex.org/A5101604076
authorships[2].author.orcid	https://orcid.org/0000-0003-0564-035X
authorships[2].author.display_name	Hua Zhang
authorships[2].countries	CN
authorships[2].affiliations[0].institution_ids	https://openalex.org/I120825670
authorships[2].affiliations[0].raw_affiliation_string	School of Mathematics, Yunnna Normal University, Kunming 650091, China
authorships[2].institutions[0].id	https://openalex.org/I120825670
authorships[2].institutions[0].ror	https://ror.org/00sc9n023
authorships[2].institutions[0].type	education
authorships[2].institutions[0].lineage	https://openalex.org/I120825670
authorships[2].institutions[0].country_code	CN
authorships[2].institutions[0].display_name	Yunnan Normal University
authorships[2].author_position	last
authorships[2].raw_author_name	Hua Zhang
authorships[2].is_corresponding	False
authorships[2].raw_affiliation_strings	School of Mathematics, Yunnna Normal University, Kunming 650091, China
has_content.pdf	True
has_content.grobid_xml	True
is_paratext	False
open_access.is_oa	True
open_access.oa_url	https://www.mdpi.com/2227-7390/11/18/3896/pdf?version=1694601937
open_access.oa_status	gold
open_access.any_repository_has_fulltext	False
created_date	2025-10-10T00:00:00
display_name	On Edge-Primitive Graphs of Order as a Product of Two Distinct Primes
has_fulltext	True
is_retracted	False
updated_date	2025-11-06T03:46:38.306776
primary_topic.id	https://openalex.org/T10849
primary_topic.field.id	https://openalex.org/fields/26
primary_topic.field.display_name	Mathematics
primary_topic.score	0.9998999834060669
primary_topic.domain.id	https://openalex.org/domains/3
primary_topic.domain.display_name	Physical Sciences
primary_topic.subfield.id	https://openalex.org/subfields/2607
primary_topic.subfield.display_name	Discrete Mathematics and Combinatorics
primary_topic.display_name	Finite Group Theory Research
related_works	https://openalex.org/W4220852510, https://openalex.org/W603403972, https://openalex.org/W2061237693, https://openalex.org/W4206705200, https://openalex.org/W1554245510, https://openalex.org/W1527735759, https://openalex.org/W2239518402, https://openalex.org/W4285762950, https://openalex.org/W1769730578, https://openalex.org/W3001787527
cited_by_count	1
counts_by_year[0].year	2024
counts_by_year[0].cited_by_count	1
locations_count	2
best_oa_location.id	doi:10.3390/math11183896
best_oa_location.is_oa	True
best_oa_location.source.id	https://openalex.org/S4210192031
best_oa_location.source.issn	2227-7390
best_oa_location.source.type	journal
best_oa_location.source.is_oa	True
best_oa_location.source.issn_l	2227-7390
best_oa_location.source.is_core	True
best_oa_location.source.is_in_doaj	True
best_oa_location.source.display_name	Mathematics
best_oa_location.source.host_organization	https://openalex.org/P4310310987
best_oa_location.source.host_organization_name	Multidisciplinary Digital Publishing Institute
best_oa_location.source.host_organization_lineage	https://openalex.org/P4310310987
best_oa_location.source.host_organization_lineage_names	Multidisciplinary Digital Publishing Institute
best_oa_location.license	cc-by
best_oa_location.pdf_url	https://www.mdpi.com/2227-7390/11/18/3896/pdf?version=1694601937
best_oa_location.version	publishedVersion
best_oa_location.raw_type	journal-article
best_oa_location.license_id	https://openalex.org/licenses/cc-by
best_oa_location.is_accepted	True
best_oa_location.is_published	True
best_oa_location.raw_source_name	Mathematics
best_oa_location.landing_page_url	https://doi.org/10.3390/math11183896
primary_location.id	doi:10.3390/math11183896
primary_location.is_oa	True
primary_location.source.id	https://openalex.org/S4210192031
primary_location.source.issn	2227-7390
primary_location.source.type	journal
primary_location.source.is_oa	True
primary_location.source.issn_l	2227-7390
primary_location.source.is_core	True
primary_location.source.is_in_doaj	True
primary_location.source.display_name	Mathematics
primary_location.source.host_organization	https://openalex.org/P4310310987
primary_location.source.host_organization_name	Multidisciplinary Digital Publishing Institute
primary_location.source.host_organization_lineage	https://openalex.org/P4310310987
primary_location.source.host_organization_lineage_names	Multidisciplinary Digital Publishing Institute
primary_location.license	cc-by
primary_location.pdf_url	https://www.mdpi.com/2227-7390/11/18/3896/pdf?version=1694601937
primary_location.version	publishedVersion
primary_location.raw_type	journal-article
primary_location.license_id	https://openalex.org/licenses/cc-by
primary_location.is_accepted	True
primary_location.is_published	True
primary_location.raw_source_name	Mathematics
primary_location.landing_page_url	https://doi.org/10.3390/math11183896
publication_date	2023-09-13
publication_year	2023
referenced_works	https://openalex.org/W4234295943, https://openalex.org/W2092555599, https://openalex.org/W2018106272, https://openalex.org/W2042297212, https://openalex.org/W2038104779, https://openalex.org/W2047345121, https://openalex.org/W2807755537, https://openalex.org/W2889968475, https://openalex.org/W2982414145, https://openalex.org/W3182925387, https://openalex.org/W2908181189, https://openalex.org/W6765813491, https://openalex.org/W6666557794, https://openalex.org/W1976677460, https://openalex.org/W2083622329, https://openalex.org/W1992341080, https://openalex.org/W656473322, https://openalex.org/W2965769778, https://openalex.org/W2063976358
referenced_works_count	19
abstract_inverted_index.A	0
abstract_inverted_index.a	34, 50
abstract_inverted_index.In	26
abstract_inverted_index.an	20
abstract_inverted_index.as	33
abstract_inverted_index.if	4
abstract_inverted_index.is	2
abstract_inverted_index.of	14, 23, 31, 36, 52
abstract_inverted_index.on	10, 45
abstract_inverted_index.pq	54
abstract_inverted_index.are	40, 59
abstract_inverted_index.its	5
abstract_inverted_index.odd	60
abstract_inverted_index.set	13
abstract_inverted_index.the	11, 15
abstract_inverted_index.two	37
abstract_inverted_index.This	43
abstract_inverted_index.acts	8
abstract_inverted_index.edge	12
abstract_inverted_index.form	19
abstract_inverted_index.this	27
abstract_inverted_index.with	49
abstract_inverted_index.being	55
abstract_inverted_index.graph	1
abstract_inverted_index.group	7
abstract_inverted_index.index	53
abstract_inverted_index.order	32
abstract_inverted_index.where	57
abstract_inverted_index.graph.	16
abstract_inverted_index.graphs	18, 30
abstract_inverted_index.groups	48
abstract_inverted_index.p>q	58
abstract_inverted_index.paper,	28
abstract_inverted_index.primes	39
abstract_inverted_index.simple	47
abstract_inverted_index.depends	44
abstract_inverted_index.graphs.	25
abstract_inverted_index.primes.	61
abstract_inverted_index.product	35
abstract_inverted_index.distinct	38
abstract_inverted_index.subclass	22
abstract_inverted_index.subgroup	51
abstract_inverted_index.important	21
abstract_inverted_index.symmetric	24
abstract_inverted_index.completely	41
abstract_inverted_index.classified,	56
abstract_inverted_index.determined.	42
abstract_inverted_index.non-abelian	46
abstract_inverted_index.primitively	9
abstract_inverted_index.automorphism	6
abstract_inverted_index.Edge-primitive	17
abstract_inverted_index.edge-primitive	3, 29
cited_by_percentile_year.max	94
cited_by_percentile_year.min	90
countries_distinct_count	1
institutions_distinct_count	3
citation_normalized_percentile.value	0.67178683
citation_normalized_percentile.is_in_top_1_percent	False
citation_normalized_percentile.is_in_top_10_percent	False