The coloring theory of graphs is a very important direction in graph theory. The graph coloring problem has a strong application background. Many practical problems such as timetabling problems, frequency allocation p...
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The injective chromatic number χi(G) of a graph G is the minimum number of colors needed to color the vertices of G such that different vertices with the same neighbor are colored differently. In this here, we get so...
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Incidence coloring of graph refers to coloring of its all incidences in which neighborly incidences are assigned different colors. The smallest number of colors in an incidence coloring is incidence coloring number of...
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An acyclic coloring of a graph is a proper vertex coloring without dichromatic cycles. The acyclic chromatic number of G, denoted a(G), is the minimum number of colors required for acyclic coloring of a graph G. We st...
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The proper lucky label is based on the lucky label to make the color sum of any two adjacent vertices are different. In this paper we determined the proper lucky number of cartesian product, direct product and semi-pr...
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An acyclic coloring of a graph is a proper vertex coloring such that there are no bichromatic cycles. The acyclic chromatic number of G, denoted a(G), is the minimum number of colors required for acyclic coloring of a...
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Adjacent vertex distinguishing incidence coloring of graph G is an incidence coloring that satisfies that adjacent vertices have different color sets, and the minimum color number is called the adjacent vertex disting...
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In this paper we study the star coloring for a special class of graphs whose degree is either 1 or d. They are graphs obtained by generalized corona products of path, circle, star, complete graph complete bipartite gr...
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Let G be a simple graph with vertex set V(G) and edge set E(G). A vertex coloring of G is called a star coloring of G if any of the paths of 4 order are bicolored. The minimum number of colors required for a star colo...
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The paper discusses the properties of the partial fractional integrals, the partial fractional derivatives, and the composite fractional integrals and derivatives. Some basic formulas are derived;and the relations bet...
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