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Ordering the oriented unicyclic graphs whose skew-spectral radius is bounded by
| Content Provider | Semantic Scholar |
|---|---|
| Author | Chen, Ping-Feng Xu, Guang-Hui Zhang, Li-Pu |
| Copyright Year | 2013 |
| Abstract | *Correspondence: ghxu@zafu.edu.cn 2School of Science, Zhejiang A&F University, Hangzhou, 311300, China Full list of author information is available at the end of the article Abstract Let S(G ) be the skew-adjacency matrix of an oriented graph G with n vertices, and let λ1,λ2, . . . ,λn be all eigenvalues of S(G ). The skew-spectral radius ρs(G ) of G is defined as max{|λ1|, |λ2|, . . . , |λn|}. A connected graph, in which the number of edges equals the number of vertices, is called a unicyclic graph. In this paper, the structure of oriented unicyclic graphs whose skew-spectral radius does not exceed 2 is investigated. We order all the oriented unicyclic graphs with n vertices whose skew-spectral radius is bounded by 2. MSC: 05C50; 15A18 |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.journalofinequalitiesandapplications.com/content/pdf/1029-242X-2013-495.pdf |
| Alternate Webpage(s) | https://journalofinequalitiesandapplications.springeropen.com/track/pdf/10.1186/1029-242X-2013-495 |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Adjacency matrix Bone structure of radius Connectivity (graph theory) Graph (discrete mathematics) Graph - visual representation Orientation (graph theory) Pseudoforest Vertex (geometry) |
| Content Type | Text |
| Resource Type | Article |