Title
A note on the 4-girth-thickness of .
Abstract
The 4-girth-thickness theta(4, G) of a graph G is the minimum number of planar subgraphs of girth at least four whose union is G. In this paper, we obtain that the 4-girth-thickness of complete tripartite graph K-n,K- n,K- n is inverted right perpendicular n+1/2 inverted left perpendicular except for theta(4, K-1,K- 1,K- 1) = 2. And we also show that the 4-girth-thickness of the complete graph K-10 is three which disprove the conjecture posed by Rubio-Montiel concerning to theta(4, K-10).
Year
DOI
Venue
2019
10.26493/1855-3974.1488.182
ARS MATHEMATICA CONTEMPORANEA
Keywords
Field
DocType
Thickness,4-girth-thickness,complete tripartite graph
Complete graph,Graph,Discrete mathematics,Combinatorics,Conjecture,Mathematics
Journal
Volume
Issue
ISSN
16
1
1855-3966
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Xia Guo112.04
Yan Yang212122.47