Results 11 to 20 of about 1,402,601 (292)
The hunting of a snark with total chromatic number 5
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Diana Sasaki +3 more
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On the equitable total chromatic number of cubic graphs
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Simone Dantas +5 more
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Total Chromatic Number and Some Topological Indices
Abstract The total chromatic number χ ″ ( G ) of G is the smallest number of colors needed to color all elements of G in such a way that no adjacent or incident elements get the same color. The harmonic index H ( G ) of a graph G is defined as the sum of the weights 2 d ( u ) + d ( v ) of all edges uv of G, where
J. Geetha 0001, K. Somasundaram 0001
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Fuzzy coloring and total fuzzy coloring of various types of intuitionistic fuzzy graphs [PDF]
In this paper, fuzzy coloring and total fuzzy coloring of intuitionistic fuzzy graphs are introduced. The fuzzy chromatic number, fuzzy chromatic index, total fuzzy chromatic number and total fuzzy chromatic index of both vertices and edges in ...
R. Buvaneswari, P. Revathy
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On local antimagic total labeling of complete graphs amalgamation [PDF]
Let \(G = (V,E)\) be a connected simple graph of order \(p\) and size \(q\). A graph \(G\) is called local antimagic (total) if \(G\) admits a local antimagic (total) labeling.
Gee-Choon Lau, Wai Chee Shiu
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Total difference chromatic numbers of graphs [PDF]
18 pages, 11 ...
Rohatgi, Ranjan, Zhang, Yufei
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A Bound on the Total Chromatic Number [PDF]
A total colouring of a graph \(G\) is an assignment of colours to its vertices and edges so that no two adjacent edges have the same colour, no two adjacent vertices have the same colour, and no edge has the same colour as one of its endpoints. The total chromatic number \(\chi''(G)\) is the least number of colours required for a total colouring of \(G\
Molloy, M., Reed, B.
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Every graph is local antimagic total and its applications [PDF]
Let \(G = (V,E)\) be a simple graph of order \(p\) and size \(q\). A graph \(G\) is called local antimagic (total) if \(G\) admits a local antimagic (total) labeling. A bijection \(g : E \to \{1,2,\ldots,q\}\) is called a local antimagic labeling of \(G\)
Gee-Choon Lau +2 more
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Chromatic number of super vertex local antimagic total labelings of graphs
Let G(V,E) be a simple graph and f be a bijection f : V ∪ E → {1, 2, …, |V|+|E|} where f(V)={1, 2, …, |V|}. For a vertex x ∈ V, define its weight w(x) as the sum of labels of all edges incident with x and the vertex label itself. Then f is called a super
Fawwaz F. Hadiputra +4 more
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Total fuzzy graph coloring [PDF]
In this paper, a hybrid genetic algorithm (HGA) is proposed for the total fuzzy graph coloring (TFGC) problem. TFGC comprises of a graph with fuzzy vertices and edges, seeks to obtain an optimal $k-$coloring of that fuzzy graph such that the degree of ...
Smriti Saxena +2 more
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