[PDF] Top 20 SOME RESULTS ON TOTAL CHROMATIC NUMBER OF A GRAPH

... undirected graph G = (V (G), E(G)) with vertex set V (G) and edge set ...the graph elements. A coloring of a graph G is to assign colors (numbers) to the vertices or edges or ...coloring, ... See full document

... A graph in this context is made up of vertices, nodes, or points which are connected by edges, arcs, or ...theoretical results and extensive practical ... See full document

... simple graph G, a subset D of V (G) is called a chromatic weak dom- inating set if D is a weak dominating set and χ(< D >) = ...partition, chromatic weak domatic partition can be ...a ... See full document

... new results on the classical edge coloring as well as the generalized edge coloring ...developed some algorithms and modules by using Combinatorica package to color the edges of graphs with Mathematica, a ... See full document

... a graph theoretic parameter and characterized the corresponding extremal ...similar results for and ...domination number and proved that (G)+ ≤ 2n-2, and characterized the corresponding extermal ... See full document

... in some specified set which was studied by Eggleton ...The Total coloring was introduced by Vizing [96, 97] and independently by Behzad [9] and was studied also by Vijayaditya ...strong chromatic ... See full document

... distinguishing total chromatic number of line graph of Fan graph, double star, Friendship graph and splitting graph of path, cycle, star and sun let ...distinguishing ... See full document

... mathematics. Graph theory has proven to be particularly useful to a large number of rather diverse ...of graph theory is rich in theoretical results as well as applications to real-world ... See full document

... edge chromatic number of a connected graph in terms of (1) its order and edge chromatic number; (2) its decomposition di- mension and edge chromatic ...need some ... See full document

... a graph G is the minimum number of vertices whose removal results in a disconnected ...The chromatic number is defined to be the minimum number of colours required to colour all ... See full document

... a graph with minimum degree at least one. A total dominator coloring of G is a proper coloring of G with the extra property that every vertex in G properly dominates a color ...The total dominator ... See full document

... dominator chromatic number of middle and total graphs and compared these parameters with dominator chromatic number of the corresponding graph ...identifying graph ... See full document

... Abstract: Graph theory is the study of graphs, which are mathematical structures used to demonstrate pair wise relations between ...domination, chromatic number and total domination the most ... See full document

... fuzzy graph G is an assignment of colors to vertices of ...fuzzy chromatic number of middle fuzzy graph of fuzzy cycle, fuzzy path, fuzzy star and complete fuzzy graph is given and also ... See full document

... a graph with minimum degree at least one. A total dominator coloring of G is a proper coloring of G with the extra property that every vertex in G properly dominates a color ...The total dominator ... See full document

... X =  k . Players take turns to color the vertices of a given finite graph G , where no two adjacent vertices take the same color. The game starts with Alice, who wins the game if all the vertices of G are ... See full document

... neighbourhood chromatic dominating set (nchd-set) if 𝐷 is a dominating set and 𝜒 < 𝑁 𝐷 > = ...neighbourhood chromatic dominating set of a graph G is called the neighbourhood chromatic ... See full document

... Graph theory is branch of mathematics, which has becomes quite rich and interesting for several ...in graph theory. There are several areas in graph theory which have reserved good attention from ... See full document

... A graph is said to be a simple graph if it has no loops and no parallel ...A graph G is said to be finite if both its vertex set and edge sets are finite, otherwise it is called an infinite ...The ... See full document

... b-chromatic number and related parameters for the degree splitting graph of some ...splitting graph of G n is b-continuous. The degree splitting graph of P n , B n,n and S n are ... See full document