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The Smarandachely adjacent-vertex total chromatic number of graph is the smallest positive integer for which has a proper total $k$-coloring such that for any pair of adjacent vertices $u,v$, the set of colors appearing at vertex and its incident edges is not a subset of the set of colors appearing at vertex and its incident edges. In this paper, a kind of Generalized 3-regular Ring Graph...
The Smarandachely adjacent-vertex distinguishing total coloring of graphs is a proper k-total coloring such that every adjacent vertex coloring set not embrace each other, the minimal number k is denoted the Smarandachely adjacent-vertex distinguishing total coloring chromatic number of graphs. Where the coloring set include the colors of all edges incident to the vertex plus the color of it. In this...
The Smarandachely adjacent-vertex total chromatic number of graph G is the smallest positive integer k for which G has a proper total k-coloring such that for any pair of adjacent vertices u, v, the set of colors appearing at vertex u and its incident edges is not a subset of the set of colors appearing at vertex v and its incident edges. This paper,we obtain the Smarandachely adjacent-vertex total...
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