Spectral Sufficient Conditions on Pancyclic Graphs. (15th July 2021)

• Record Type: Journal Article
• Authors: Yu, Guidong; Yu, Tao; Xia, Xiangwei; Xu, Huan
• Other Names: Wang Shaohui Academic Editor.
• Is Part Of: Complexity. Volume 2021(2021)
• Publication Date: 2021-07-15
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2021/3630245
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : A pancyclic graph of order n is a graph with cycles of all possible lengths from 3 to n . In fact, it is NP-complete that deciding whether a graph is pancyclic. Because the spectrum of graphs is convenient to be calculated, in this study, we try to use the spectral theory of graphs to study this problem and give some sufficient conditions for a graph to be pancyclic in terms of the spectral radius and the signless Laplacian spectral radius of the graph.