A Fan-Type Heavy Pair Of Subgraphs For Pancyclicity Of 2-Connected Graphs

Let G be a graph on n vertices and let H be a given graph. We say that G is pancyclic, if it contains cycles of all lengths from 3 up to n, and that it is H-f1-heavy, if for every induced subgraph K of G isomorphic to H and every two vertices u, v ∈ V (K), dK(u, v) = 2 implies min⁡{dG(u),dG(v)}≥n+1...

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Bibliographic Details
Main Author: Wideł Wojciech
Format: Article
Language:English
Published: University of Zielona Góra 2016-02-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.1840