About equivalent interval colorings of weighted graphs

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About equivalent interval colorings of weighted graphs

Given a graph G = (V,E) with strictly positive integer weights ωi on the vertices i ∈ V , a k-interval coloring of G is a function I that assigns an interval I(i) ⊆ {1, · · · , k} of ωi consecutive integers (called colors) to each vertex i ∈ V . If two adjacent vertices x and y have common colors, i.e. I(i)∩ I(j) 6= ∅ for an edge [i, j] in G, then the edge [i, j] is said conflicting. A k-interv...

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ژورنال

عنوان ژورنال: Discrete Applied Mathematics

سال: 2009

ISSN: 0166-218X

DOI: 10.1016/j.dam.2009.04.015