Title
Large Immersions in Graphs with Independence Number 3 and 4.
Abstract
The analogue of Hadwiger's conjecture for the immersion order, a conjecture independently posed by Lescure and Meyniel, and by Abu-Khzam and Langston, states that every graph G which does not contain the complete graph Kt+1 as an immersion satisfies χ(G) ≤ t. If true, this conjecture would imply that every graph with n vertices and independence number α contains K⌈nα⌉ as an immersion (and if α = 2, the two statements are known to be equivalent).
Year
DOI
Venue
2019
10.1016/j.entcs.2019.08.020
Electronic Notes in Theoretical Computer Science
Keywords
Field
DocType
Graph immersion,independence number,chromatic number,Hadwiger's conjecture
Discrete mathematics,Complete graph,Graph,Independence number,Clique,Vertex (geometry),Upper and lower bounds,Computer science,Conjecture
Journal
Volume
ISSN
Citations 
346
1571-0661
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Sebastián Bustamante102.03
Daniel A. Quiroz200.68
maya stein38115.65
José Zamora475.95