On the Functions with Values in $[\alpha(G), \overline \chi(G)]$
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15 صفحه اولOn the functions with values in [α(G), χ(G)]
Let B(G) = {X : X ∈ Rn×n,X = X , I ≤ X ≤ I + A(G)} and C(G) = {X : X ∈ Rn×n,X = X , I − A(G) ≤ X ≤ I + A(G)} be classes of matrices associated with graph G. Here n is the number of vertices in graph G, and A(G) is the adjacency matrix of this graph. Denote r(G) = minX∈C(G) rank(X), r+(G) = minX∈B(G) rank(X). We have shown previously that for every graph G, α(G) ≤ r+(G) ≤ χ(G) holds and α(G) = r...
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ژورنال
عنوان ژورنال: The Electronic Journal of Combinatorics
سال: 2004
ISSN: 1077-8926
DOI: 10.37236/1846