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On the least signless Laplacian eigenvalue of a non-bipartite connected graph with fixed maximum degree
In this paper, we determine the unique graph whose least signless Laplacian eigenvalue attains the minimum among all non-bipartite unicyclic graphs of order n with maximum degree Δ and among all non-bipartite connected graphs of order n with maximum degree Δ, respectively.
| Autores principales: | , |
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
| Publicado: |
Springer International Publishing
2017
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| Materias: | |
| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5440539/ https://www.ncbi.nlm.nih.gov/pubmed/28603399 http://dx.doi.org/10.1186/s13660-017-1395-y |
| _version_ | 1783238080230064128 |
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| author | Guo, Shu-Guang Zhang, Rong |
| author_facet | Guo, Shu-Guang Zhang, Rong |
| author_sort | Guo, Shu-Guang |
| collection | PubMed |
| description | In this paper, we determine the unique graph whose least signless Laplacian eigenvalue attains the minimum among all non-bipartite unicyclic graphs of order n with maximum degree Δ and among all non-bipartite connected graphs of order n with maximum degree Δ, respectively. |
| format | Online Article Text |
| id | pubmed-5440539 |
| institution | National Center for Biotechnology Information |
| language | English |
| publishDate | 2017 |
| publisher | Springer International Publishing |
| record_format | MEDLINE/PubMed |
| spelling | pubmed-54405392017-06-08 On the least signless Laplacian eigenvalue of a non-bipartite connected graph with fixed maximum degree Guo, Shu-Guang Zhang, Rong J Inequal Appl Research In this paper, we determine the unique graph whose least signless Laplacian eigenvalue attains the minimum among all non-bipartite unicyclic graphs of order n with maximum degree Δ and among all non-bipartite connected graphs of order n with maximum degree Δ, respectively. Springer International Publishing 2017-05-22 2017 /pmc/articles/PMC5440539/ /pubmed/28603399 http://dx.doi.org/10.1186/s13660-017-1395-y Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. |
| spellingShingle | Research Guo, Shu-Guang Zhang, Rong On the least signless Laplacian eigenvalue of a non-bipartite connected graph with fixed maximum degree |
| title | On the least signless Laplacian eigenvalue of a non-bipartite connected graph with fixed maximum degree |
| title_full | On the least signless Laplacian eigenvalue of a non-bipartite connected graph with fixed maximum degree |
| title_fullStr | On the least signless Laplacian eigenvalue of a non-bipartite connected graph with fixed maximum degree |
| title_full_unstemmed | On the least signless Laplacian eigenvalue of a non-bipartite connected graph with fixed maximum degree |
| title_short | On the least signless Laplacian eigenvalue of a non-bipartite connected graph with fixed maximum degree |
| title_sort | on the least signless laplacian eigenvalue of a non-bipartite connected graph with fixed maximum degree |
| topic | Research |
| url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5440539/ https://www.ncbi.nlm.nih.gov/pubmed/28603399 http://dx.doi.org/10.1186/s13660-017-1395-y |
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