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Let G = (V, E) be a simple graph, k (1 ?? k ?? ??(G) +1) is a positive integer, f is a mapping from V(G) ?? E(G) to {1,2, ??????, k} such that ??uv ?? E(G),f(u) ?? f(v) and C(u) = C(v) if d(u) = d(v), we say that f is the adjacent vertex reducible vertex-total coloring of G. The maximum number of k is called the adjacent vertex reducible vertex-total chromatic number of G, simply denoted by ??avrvt...
Let G(V, E) be a simple graph,k (1 les k les Delta + 1) is a positive integer, f is a mapping from V(G) upsi E(G) to {1, 2,..., k} such that foralluu, uw isin E(G), v ne w, f(uv) ne f(uw); foralluv isin E(G), if d(u) = d(v)then C(u) = C(v); we say that f is the adjacent vertex reducible edge-total coloring of G. The maximum number of k is called the adjacent vertex reducible edge-total chromatic number...
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