3-Paths in Graphs with Bounded Average Degree

In this paper we study the existence of unavoidable paths on three vertices in sparse graphs. A path uvw on three vertices u, v, and w is of type (i, j, k) if the degree of u (respectively v, w) is at most i (respectively j, k). We prove that every graph with minimum degree at least 2 and average de...

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Bibliographic Details
Main Authors: Jendrol Stanislav, Maceková Mária, Montassier Mickaël, Soták Roman
Format: Article
Language:English
Published: University of Zielona Góra 2016-05-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.1859