Spectral Conditions for Graphs to be k-Hamiltonian or k-Path-Coverable

A graph G is k-Hamiltonian if for all X ⊂ V (G) with |X| ≤ k, the subgraph induced by V (G) \ X is Hamiltonian. A graph G is k-path-coverable if V (G) can be covered by k or fewer vertex disjoint paths. In this paper, by making use of the vertex degree sequence and an appropriate closure concept (du...

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Bibliographic Details
Main Authors: Liu Weijun, Liu Minmin, Zhang Pengli, Feng Lihua
Format: Article
Language:English
Published: Sciendo 2020-02-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.2127