27 nov. 2011 An adjacent vertex-distinguishing edge coloring or avd-coloring
24 mai 2013 Adjacent vertex-distinguishing edge coloring of graphs? ... conjectured that every connected graph on at least 6 vertices is AVD (? + ...
17 avr. 2018 A proper edge colouring of a graph is adjacent vertex distinguishing if no two adjacent vertices see the same set of colours. Using a clever ...
24 août 2022 In this paper we investigate the problem of proper total distinguishing adjacent vertices by sets. Let G = (VE) be a simple graph with maximum ...
22 juil. 2020 By 'graph' we mean a finite undirected
An adjacent-vertex-distinguishing total colouring (AVDTC) of a graph G is a prove the validity of this conjecture for hypercubes lattice graphs and ...
Order of a Network: the number of vertices in the entire network or graph. Adjacent Vertices: two vertices that are connected by an edge.
it which proves to satisfy the adjacent - equitable- coloring conjecture. Keywords: Join graph
20 mars 2018 distinguish the adjacent vertices in this stronger way. We prove this conjecture for several classes of graphs including bipartite graphs ...
Two vertices are called adjacent if there is an edge between them. The degree of a vertex in an undirected graph is the number of edges associated with it.