The spectral characterization of wind-wheel graphs

Fei Wen (), Qiongxiang Huang (), Xueyi Huang () and Fenjin Liu ()
Additional contact information
Fei Wen: Xinjiang University
Qiongxiang Huang: Xinjiang University
Xueyi Huang: Xinjiang University
Fenjin Liu: Chang’an University

Indian Journal of Pure and Applied Mathematics, 2015, vol. 46, issue 5, 613-631

Abstract: Abstract Let G s,t denote the wind-wheel graph on n vertices obtained by appending s triangle(s) to a pendant vertex of a path P t+1 with just a vertex in common. In this paper, we prove that all wind-wheel graphs are determined by their Laplacian spectra as well as signless Laplacian spectra. As G s,t is the well-known friendship graph if t = 0, our results include that the friendship graph is determined by its Laplacian spectrum as well as signless Laplacian spectrum, which provides of a new proofs of the results in [15].

Keywords: Graph; adjacency spectrum; Laplacian spectrum; signless Laplacian spectrum; cospectral graphs (search for similar items in EconPapers)
Date: 2015
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://link.springer.com/10.1007/s13226-015-0141-8 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:indpam:v:46:y:2015:i:5:d:10.1007_s13226-015-0141-8

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/13226

DOI: 10.1007/s13226-015-0141-8

Access Statistics for this article

Indian Journal of Pure and Applied Mathematics is currently edited by Nidhi Chandhoke

More articles in Indian Journal of Pure and Applied Mathematics from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().