Title
On Gallai'S Conjecture For Graphs With Maximum Degree 6
Abstract
Gallai's conjecture asserts that a connected graph G on n vertices can be decomposed into [n/2] paths. In this paper, we prove that a connected graph with maximum degree 6, in which the vertices of degree 6 form an independent set, can be decomposed into n/2 paths, unless it is K-3, K-5 and K-5(-). (C) 2020 Elsevier B.V. All rights reserved.
Year
DOI
Venue
2021
10.1016/j.disc.2020.112212
DISCRETE MATHEMATICS
Keywords
DocType
Volume
Path, Decomposition, Gallai's conjecture
Journal
344
Issue
ISSN
Citations 
2
0012-365X
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Yanan Chu100.68
Genghua Fan241265.22
Qinghai Liu311.05