ON THE EMBEDDING OF GROUPS AND DESIGNS IN A DIFFERENCE BLOCK DESIGN Article Swipe
Maryam Tale Masouleh
,
Ali Iranmanesh
,
Henk Koppelaar
·
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.22190/fumi200322009t
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.22190/fumi200322009t
A difference BIBD is a balanced incomplete block design on a group which isconstructed by transferring a regular perfect difference system by a subgroup of its point set. There is an obvious bijection between these BIBDs and some copies of their point sets as two sets. In this paper, we investigate the algebraic structure of these block designs by definning a group-isomorphism between them and their point sets. It has done by defning some relations between the independent-graphs of difference BIBDs and some Cayley graphs of their point sets. It is shown that some Cayley graphs are embedded in the independent-graph of difference BIBDs as a spanning sub-graphs. Due to find these relations, we find out a configuration ordering on these BIBDs, also we achieve some results about the classification of these BIBDs. All in this paper are on difference BIBDs with even numbers of the points.
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Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.22190/fumi200322009t
- http://casopisi.junis.ni.ac.rs/index.php/FUMathInf/article/download/6262/pdf
- OA Status
- diamond
- References
- 12
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W3165430363
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W3165430363Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.22190/fumi200322009tDigital Object Identifier
- Title
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ON THE EMBEDDING OF GROUPS AND DESIGNS IN A DIFFERENCE BLOCK DESIGNWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2021Year of publication
- Publication date
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2021-05-24Full publication date if available
- Authors
-
Maryam Tale Masouleh, Ali Iranmanesh, Henk KoppelaarList of authors in order
- Landing page
-
https://doi.org/10.22190/fumi200322009tPublisher landing page
- PDF URL
-
https://casopisi.junis.ni.ac.rs/index.php/FUMathInf/article/download/6262/pdfDirect link to full text PDF
- Open access
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YesWhether a free full text is available
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diamondOpen access status per OpenAlex
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https://casopisi.junis.ni.ac.rs/index.php/FUMathInf/article/download/6262/pdfDirect OA link when available
- Concepts
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Mathematics, Bijection, Combinatorics, Embedding, Graph isomorphism, Isomorphism (crystallography), Block (permutation group theory), Point (geometry), Cayley graph, Discrete mathematics, Graph, Computer science, Line graph, Crystallography, Crystal structure, Artificial intelligence, Geometry, ChemistryTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
- References (count)
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12Number of works referenced by this work
- Related works (count)
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.numbers | 143 |
| abstract_inverted_index.obvious | 31 |
| abstract_inverted_index.perfect | 18 |
| abstract_inverted_index.points. | 146 |
| abstract_inverted_index.regular | 17 |
| abstract_inverted_index.results | 126 |
| abstract_inverted_index.balanced | 5 |
| abstract_inverted_index.embedded | 97 |
| abstract_inverted_index.ordering | 118 |
| abstract_inverted_index.spanning | 106 |
| abstract_inverted_index.subgroup | 23 |
| abstract_inverted_index.algebraic | 52 |
| abstract_inverted_index.bijection | 32 |
| abstract_inverted_index.definning | 59 |
| abstract_inverted_index.relations | 74 |
| abstract_inverted_index.structure | 53 |
| abstract_inverted_index.difference | 1, 19, 79, 102, 139 |
| abstract_inverted_index.incomplete | 6 |
| abstract_inverted_index.relations, | 112 |
| abstract_inverted_index.investigate | 50 |
| abstract_inverted_index.sub-graphs. | 107 |
| abstract_inverted_index.transferring | 15 |
| abstract_inverted_index.configuration | 117 |
| abstract_inverted_index.isconstructed | 13 |
| abstract_inverted_index.classification | 129 |
| abstract_inverted_index.group-isomorphism | 61 |
| abstract_inverted_index.independent-graph | 100 |
| abstract_inverted_index.independent-graphs | 77 |
| cited_by_percentile_year | |
| countries_distinct_count | 2 |
| institutions_distinct_count | 3 |
| citation_normalized_percentile.value | 0.04631516 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |