[PDF] Top 20 Chromatic completion number of corona of path and cycle graphs

... to chromatic completion of a graph. The chromatic completion number of a graph G denoted by, ζ (G) is the maximum number of good edges that can be added to G over all ... See full document

... achromatic number of a cycle and a path was determined by Hare, Hedetniemi and Laskar ...achromatic number of a graph as follows: "Given any simple graph G and an integer k,does G have a ... See full document

... lucky number of G and is denoted by ...of path,cycle and corona of graphs are lucky edge labeled graphs and we obtain their lucky numbers of these ... See full document

... a path P , denoted by | P | , is the number of its ...a path and x, y ∈ V (P ), then xP y is the subpath of P between x and ...a cycle with a specified orientation, in which case xP y is the ... See full document

... domination number, chromatic number and domination coloring number, for our ...domination number, chromatic number and domination coloring number of middle graph of ... See full document

... fuzzy graphs [9], blocks in fuzzy graphs [8] and properties of self complementary fuzzy graphs [10] were also studied by the same ...strong path between any two nodes of a fuzzy ...fuzzy ... See full document

... domination number of a graph is first introduced by Berge [9] in his book on graph ...two graphs 𝐺 1 and 𝐺 2 , called corona product denoted by ... See full document

... All graphs considered in this paper are finite, undirected graphs and we follow standard definiton of graph theory as found in ...The path and cycle of order n are denoted by and C n ... See full document

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

... The fuzzy definition of fuzzy graphs was proposed by Kaufmann [4], from the fuzzy relations introduced by Zadeh [9]. Although Rosenfeld [5] introduced another elaborated definition, including fuzzy vertex and ... See full document

... Definition I.1. [1] A graph G with n ver- tices is said to be strongly ∗ -graph if there is a bijection f : V (G) −→ {1, 2, . . . , n} such that the induced edge function f ∗ : E(G) −→ N defined as f ∗ (e = uv) = f(u) + ... See full document

... odd number of times or does not use it at ...minimum number of colors that can be used for an odd edge coloring of any loopless connected graph and showed that its upper bound is ...Also, chromatic ... See full document

... domination number of a graph and is denoted by γ ...single chromatic transversal dominating set if D intersects every member (color class) of some chromatic partition, also called χ-partition of ... See full document

... detection number among all unicyclic ...detection number of a cubic graph is 2. They also show that the detection number of every bipartite graph of minimum degree at least 3 is atmost ...detection ... See full document

... which number of vertices labeled with 0 and V f ( 1 ) which is the number of vertices labeled with 1, and follows the condition that V f ( 1 )  V f ( 1 )  1 ... See full document

... All graphs are considered to be only simple, undirected and finite ...in graphs and used the notation γ (G) for the domination ...many number of queens are required to ...the number of ... See full document

... G be a simple graph and   N . A mapping f : V ( G )  {1,2,  ,  } is called a  - colouring of G if f ( u )  f ( v ) whenever the vertices u and v are adjacent in G . The number of distinct  colourings of G ... See full document

... Throughout this paper, let *𝑣 : 1 ≤ 𝑖 ≤ 𝑛+ and *𝑢 : 1 ≤ 𝑖 ≤ 𝑛+ denote the vertices of inner and outer cycle taken in cyclic order, respectively. Let *𝑒 : 1 ≤ 𝑖 ≤ 𝑛+ and {𝑒 : 1 ≤ 𝑖 ≤ 𝑛+ denote the edges of inner ... See full document

... All graphs considered here are finite, simple and undi- ...chosen, number of vertices of G having label i under f. = number of edges of G having label i under f * ... See full document

... We begin with a finite, connected and undirected graph G=(V(G),E(G)) without loops and multiple edges. Throughout this paper |V(G)| and |E(G)| denote the number of vertices and number of edges respectively. ... See full document