On sufficient conditions for a graph to be \(k\)-path-coverable, \(k\)-edge-hamiltonian, Hamilton-connected, traceable and \(k^{-}\)-independent

Autor: Junjiang Li, Huichao Shi, Fuguo Liu, Guifu Su
Rok vydání: 2020
Předmět:
Zdroj: Open Journal of Discrete Applied Mathematics. 3:66-76
ISSN: 2617-9687
2617-9679
DOI: 10.30538/psrp-odam2020.0045
Popis: The inverse degree of a graph was defined as the sum of the inverses of the degrees of the vertices. In this paper, we focus on finding sufficient conditions in terms of the inverse degree for a graph to be \(k\)-path-coverable, \(k\)-edge-hamiltonian, Hamilton-connected and traceable, respectively. The results obtained are not dropped.
Databáze: OpenAIRE