Perturbations in a Signed Graph and its Index
In this paper we consider the behaviour of the largest eigenvalue (also called the index) of signed graphs under small perturbations like adding a vertex, adding an edge or changing the sign of an edge. We also give a partial ordering of signed cacti with common underlying graph by their indices and...
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| Format: | Article |
| Language: | English |
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University of Zielona Góra
2018-08-01
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| Series: | Discussiones Mathematicae Graph Theory |
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| Online Access: | https://doi.org/10.7151/dmgt.2035 |
| _version_ | 1797718049408679936 |
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| author | Stanić Zoran |
| author_facet | Stanić Zoran |
| author_sort | Stanić Zoran |
| collection | DOAJ |
| description | In this paper we consider the behaviour of the largest eigenvalue (also called the index) of signed graphs under small perturbations like adding a vertex, adding an edge or changing the sign of an edge. We also give a partial ordering of signed cacti with common underlying graph by their indices and demonstrate a general method for obtaining lower and upper bounds for the index. Finally, we provide our computational results related to the generation of small signed graphs. |
| first_indexed | 2024-03-12T08:45:19Z |
| format | Article |
| id | doaj.art-e5ec904f662046ed8108323c8a69fb53 |
| institution | Directory Open Access Journal |
| issn | 2083-5892 |
| language | English |
| last_indexed | 2024-03-12T08:45:19Z |
| publishDate | 2018-08-01 |
| publisher | University of Zielona Góra |
| record_format | Article |
| series | Discussiones Mathematicae Graph Theory |
| spelling | doaj.art-e5ec904f662046ed8108323c8a69fb532023-09-02T16:29:32ZengUniversity of Zielona GóraDiscussiones Mathematicae Graph Theory2083-58922018-08-0138384185210.7151/dmgt.2035dmgt.2035Perturbations in a Signed Graph and its IndexStanić Zoran0Faculty of Mathematics, University of Belgrade, Studentski trg 16, 11 000Belgrade, SerbiaIn this paper we consider the behaviour of the largest eigenvalue (also called the index) of signed graphs under small perturbations like adding a vertex, adding an edge or changing the sign of an edge. We also give a partial ordering of signed cacti with common underlying graph by their indices and demonstrate a general method for obtaining lower and upper bounds for the index. Finally, we provide our computational results related to the generation of small signed graphs.https://doi.org/10.7151/dmgt.2035signed graphswitching equivalenceindexcomputer search05c5005c3065f15 |
| spellingShingle | Stanić Zoran Perturbations in a Signed Graph and its Index Discussiones Mathematicae Graph Theory signed graph switching equivalence index computer search 05c50 05c30 65f15 |
| title | Perturbations in a Signed Graph and its Index |
| title_full | Perturbations in a Signed Graph and its Index |
| title_fullStr | Perturbations in a Signed Graph and its Index |
| title_full_unstemmed | Perturbations in a Signed Graph and its Index |
| title_short | Perturbations in a Signed Graph and its Index |
| title_sort | perturbations in a signed graph and its index |
| topic | signed graph switching equivalence index computer search 05c50 05c30 65f15 |
| url | https://doi.org/10.7151/dmgt.2035 |
| work_keys_str_mv | AT staniczoran perturbationsinasignedgraphanditsindex |