Unicyclic graphs with large energy
dc.contributor.author | Andriantiana E.O.D. | |
dc.contributor.author | Wagner S. | |
dc.date.accessioned | 2011-10-13T16:59:44Z | |
dc.date.available | 2011-10-13T16:59:44Z | |
dc.date.issued | 2011 | |
dc.description.abstract | We study the energy (i.e., the sum of the absolute values of all eigenvalues) of so-called tadpole graphs, which are obtained by joining a vertex of a cycle to one of the ends of a path. By means of the Coulson integral formula and careful estimation of the resulting integrals, we prove two conjectures on the largest and second-largest energy of a unicyclic graph due to Caporossi, Cvetković, Gutman and Hansen and Gutman, Furtula and Hua, respectively. Moreover, we characterise the non-bipartite unicyclic graphs whose energy is largest. © 2011 Elsevier Inc. All rights reserved. | |
dc.description.version | Article | |
dc.identifier.citation | Linear Algebra and Its Applications | |
dc.identifier.citation | 435 | |
dc.identifier.citation | 6 | |
dc.identifier.citation | http://www.scopus.com/inward/record.url?eid=2-s2.0-79958831593&partnerID=40&md5=eaee91333e803f7142e7b3fd2b4a548a | |
dc.identifier.issn | 243795 | |
dc.identifier.other | 10.1016/j.laa.2011.03.013 | |
dc.identifier.uri | http://hdl.handle.net/10019.1/17223 | |
dc.title | Unicyclic graphs with large energy | |
dc.type | Article |