Title
IC-Colorings and IC-Indices of graphs
Abstract
Given a coloring f:V(G)->N of graph G and any subgraph [email protected]?G we define f"s(H)[email protected]?"v"@?"V"("H")f(v). In particular, we denote f"s(G) by S(f). The coloring f is called an IC-coloring if for any integer [email protected]?[1,S(f)] there is a connected subgraph [email protected]?G such that f"s(H)=k. Also, we define the IC-index of G to beM(G)=max{S(f):f is an IC-coloring of G}.In this paper we examine some well-known classes of graphs and determine their IC-indices. In addition, several conjectures are proposed.
Year
DOI
Venue
2005
10.1016/j.disc.2004.02.026
Discrete Mathematics
Keywords
Field
DocType
ic-coloring,ic-index of a graph.,ic-index of a graph
Integer,Discrete mathematics,Graph,Combinatorics,Graph colouring,Vertex connectivity,Mathematics
Journal
Volume
Issue
ISSN
299
1-3
Discrete Mathematics
Citations 
PageRank 
References 
2
0.50
4
Authors
3
Name
Order
Citations
PageRank
Ebrahim Salehi1164.82
Sin-Min Lee24616.01
Mahdad Khatirinejad3305.08