Research article

Some spectral sufficient conditions for a graph being pancyclic

  • Received: 10 February 2020 Accepted: 16 June 2020 Published: 23 June 2020
  • MSC : 05C50, 15A18

  • Let $G(V, E)$ be a simple connected graph of order $n$. A graph of order $n$ is called pancyclic if it contains all the cycles $C_k$ for $k\in \{3, 4, \cdot\cdot\cdot, n\}$. In this paper, some new spectral sufficient conditions for the graph to be pancyclic are established in terms of the edge number, the spectral radius and the signless Laplacian spectral radius of the graph.

    Citation: Huan Xu, Tao Yu, Fawaz E. Alsaadi, Madini Obad Alassafi, Guidong Yu, Jinde Cao. Some spectral sufficient conditions for a graph being pancyclic[J]. AIMS Mathematics, 2020, 5(6): 5389-5401. doi: 10.3934/math.2020346

    Related Papers:

  • Let $G(V, E)$ be a simple connected graph of order $n$. A graph of order $n$ is called pancyclic if it contains all the cycles $C_k$ for $k\in \{3, 4, \cdot\cdot\cdot, n\}$. In this paper, some new spectral sufficient conditions for the graph to be pancyclic are established in terms of the edge number, the spectral radius and the signless Laplacian spectral radius of the graph.


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