A total coloring of a graph G is a coloring of both the edges and the vertices. A total coloring is proper if no two adjacent or incident elements receive�...
Sep 9, 2010 � A proper total colouring of a graph is a colouring of both vertices and edges so that every pair of adjacent vertices receive different colours,�...
Missing: augmented cubes.
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What is adjacent vertex distinguishing edge coloring?
What is vertex chromatic number?
Jun 6, 2008 � The distinguishing number of a graph G , denoted D ( G ) , is the minimum number of colors such that there exists a coloring of the vertices�...
Missing: Total total
The adjacent-vertex-distinguishing-total-chromatic number χat(G) of a graph G is the fewest colors needed in an AVD-total-coloring of G.
Missing: augmented | Show results with:augmented
An adjacent vertex distinguishing (AVD-) total coloring of a graph G is a total coloring such that any two adjacent vertices u and v have distinct sets of�...
Missing: cubes. | Show results with:cubes.
An adjacent vertex-distinguishing edge coloring of a simple graph G is a proper edge coloring of G such that incident edge sets of any two adjacent vertices�...
Missing: augmented | Show results with:augmented
Sep 12, 2010 � Abstract. A well-studied concept is that of the total chromatic number. A proper total colouring of a graph is a colouring of both vertices�...
Missing: augmented cubes.
We study the distinguishing chromatic number of Cartesian products of graphs by focusing on how much it can exceed the trivial lower bound of the chromatic�...
... distinguishing chromatic number of a graph. It is the smallest number of colors with which the vertices of a graph can be labeled so that no two adjacent�...
Meirun Chen and Shaohui Zhai, "Total and adjacent vertex-distinguishing total chromatic numbers of augmented cubes", pp. 87-96 get it; Junli Liu, Wei Jiang�...