Spectral Properties with the Difference between Topological Indices in Graphs Article Swipe
Akbar Jahanbani
,
Roslan Hasni
,
Zhibin Du
,
Seyed Mahmoud Sheikholeslami
·
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.1155/2020/6973078
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.1155/2020/6973078
Let be a graph of order with vertices labeled as . Let be the degree of the vertex , for . The difference adjacency matrix of is the square matrix of order whose entry is equal to if the vertices and of are adjacent or and zero otherwise. Since this index is related to the degree of the vertices of the graph, our main tool will be an appropriate matrix, that is, a modification of the classical adjacency matrix involving the degrees of the vertices. In this paper, some properties of its characteristic polynomial are studied. We also investigate the difference energy of a graph. In addition, we establish some upper and lower bounds for this new energy of graph.
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- Type
- article
- Language
- lv
- Landing Page
- http://doi.org/10.1155/2020/6973078
- https://downloads.hindawi.com/journals/jmath/2020/6973078.pdf
- OA Status
- gold
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- OpenAlex ID
- https://openalex.org/W3044211576
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https://openalex.org/W3044211576Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1155/2020/6973078Digital Object Identifier
- Title
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Spectral Properties with the Difference between Topological Indices in GraphsWork title
- Type
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articleOpenAlex work type
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lvPrimary language
- Publication year
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2020Year of publication
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2020-07-26Full publication date if available
- Authors
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Akbar Jahanbani, Roslan Hasni, Zhibin Du, Seyed Mahmoud SheikholeslamiList of authors in order
- Landing page
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https://doi.org/10.1155/2020/6973078Publisher landing page
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https://downloads.hindawi.com/journals/jmath/2020/6973078.pdfDirect link to full text PDF
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YesWhether a free full text is available
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goldOpen access status per OpenAlex
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https://downloads.hindawi.com/journals/jmath/2020/6973078.pdfDirect OA link when available
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Algorithm, Artificial intelligence, Computer scienceTop concepts (fields/topics) attached by OpenAlex
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1Total citation count in OpenAlex
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2021: 1Per-year citation counts (last 5 years)
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14Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.classical | 130 |
| abstract_inverted_index.close=")" | 58, 68, 71, 94, 97 |
| abstract_inverted_index.establish | 162 |
| abstract_inverted_index.involving | 133 |
| abstract_inverted_index.vertices. | 138 |
| abstract_inverted_index.difference | 37, 154 |
| abstract_inverted_index.otherwise. | 101 |
| abstract_inverted_index.polynomial | 147 |
| abstract_inverted_index.properties | 143 |
| abstract_inverted_index.appropriate | 122 |
| abstract_inverted_index.investigate | 152 |
| abstract_inverted_index.modification | 127 |
| abstract_inverted_index.characteristic | 146 |
| abstract_inverted_index.id="M9"><mml:mfenced | 56 |
| abstract_inverted_index.id="M14"><mml:mfenced | 92 |
| abstract_inverted_index.id="M10"><mml:mrow><mml:mfenced | 66 |
| abstract_inverted_index.id="M1"><mml:mi>G</mml:mi></mml:math> | 3 |
| abstract_inverted_index.id="M2"><mml:mi>n</mml:mi></mml:math> | 11 |
| abstract_inverted_index.id="M7"><mml:mi>G</mml:mi></mml:math> | 43 |
| abstract_inverted_index.id="M8"><mml:mi>n</mml:mi></mml:math> | 52 |
| abstract_inverted_index.id="M13"><mml:mi>G</mml:mi></mml:math> | 86 |
| abstract_inverted_index.xmlns:mml="http://www.w3.org/1998/Math/MathML" | 2, 10, 17, 21, 30, 34, 42, 51, 55, 65, 77, 81, 85, 91 |
| abstract_inverted_index.separators="|"><mml:mrow><mml:mi>G</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:mfenced></mml:math> | 98 |
| abstract_inverted_index.separators="|"><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:mfenced></mml:math> | 59 |
| abstract_inverted_index.id="M4"><mml:msub><mml:mrow><mml:mi>d</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:math> | 22 |
| abstract_inverted_index.id="M11"><mml:msub><mml:mrow><mml:mi>v</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:math> | 78 |
| abstract_inverted_index.id="M12"><mml:msub><mml:mrow><mml:mi>v</mml:mi></mml:mrow><mml:mrow><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:math> | 82 |
| abstract_inverted_index.id="M5"><mml:msub><mml:mrow><mml:mi>v</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:math>, | 31 |
| abstract_inverted_index.id="M6"><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1,2</mml:mn><mml:mo>,</mml:mo><mml:mo>…</mml:mo><mml:mo>,</mml:mo><mml:mi>n</mml:mi></mml:math>. | 35 |
| abstract_inverted_index.separators="|"><mml:mrow><mml:msub><mml:mrow><mml:mi>v</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi>v</mml:mi></mml:mrow><mml:mrow><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>∈</mml:mo><mml:mi>E</mml:mi><mml:mfenced | 95 |
| abstract_inverted_index.separators="|"><mml:mrow><mml:msqrt><mml:mrow><mml:msub><mml:mrow><mml:mi>d</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi>d</mml:mi></mml:mrow><mml:mrow><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msqrt></mml:mrow></mml:mfenced></mml:mrow></mml:math> | 72 |
| abstract_inverted_index.id="M3"><mml:msub><mml:mrow><mml:mi>v</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mrow><mml:mi>v</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:mo>…</mml:mo><mml:mo>,</mml:mo><mml:msub><mml:mrow><mml:mi>v</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:math>. | 18 |
| abstract_inverted_index.separators="|"><mml:mrow><mml:msqrt><mml:mrow><mml:msub><mml:mrow><mml:mi>d</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mrow><mml:mi>d</mml:mi></mml:mrow><mml:mrow><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>−</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msqrt><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:mfenced></mml:mrow><mml:mo>/</mml:mo><mml:mrow><mml:mfenced | 69 |
| cited_by_percentile_year.max | 93 |
| cited_by_percentile_year.min | 89 |
| corresponding_author_ids | https://openalex.org/A5079555077 |
| countries_distinct_count | 3 |
| institutions_distinct_count | 4 |
| corresponding_institution_ids | https://openalex.org/I157696592 |
| citation_normalized_percentile.value | 0.60682238 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |