further results on total mean cordial labeling of graphs
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abstract
a graph g = (v,e) with p vertices and q edges is said to be a total mean cordial graph if there exists a function f : v (g) → {0, 1, 2} such that f(xy) = [(f(x)+f(y))/2] where x, y ∈ v (g), xy ∈ e(g), and the total number of 0, 1 and 2 are balanced. that is |evf (i) − evf (j)| ≤ 1, i, j ∈ {0, 1, 2} where evf (x) denotes the total number of vertices and edges labeled with x (x = 0, 1, 2). in this paper, we investigate the total mean cordial labeling of cn2, ladder ln, book bm and some more graphs.
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Journal title:
journal of algorithms and computationجلد ۴۶، شماره ۱، صفحات ۷۳-۸۳
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