Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
428550 | Information Processing Letters | 2013 | 6 Pages |
Abstract
•We study the edge coloring total k-labeling.•We consider generalized Petersen graphs.•We compute the exact value for the chromatic number.•We give the coloring algorithms.
The edge coloring total k-labeling of a connected graph G is an assignment f of non-negative integers to the vertices and edges of G such that two adjacent edges uv and uv′uv′ of G have different weights. The weight of an edge uv is defined by: w(uv)=f(u)+f(v)+f(uv)w(uv)=f(u)+f(v)+f(uv). In this paper, we study the chromatic number of the edge coloring total k-labeling of generalized Petersen graphs and we propose exact values.
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
Riadh Khennoufa, Hamida Seba, Hamamache Kheddouci,