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26.300  Articles
1 of 2.630 pages  |  10  records  |  more records»
Let G = (V(G),E(G)) be a graph with the nonempty vertex set V(G) and the edge set E(G). Let Zn be the group of integers modulo n and let k be a positive integer. A modular irregular labeling of a grap... see more

We introduce a modular irregularity strength of graphs as modification of the well-known irregularity strength. We obtain some estimation on modular irregularity strength and determine the exact values of this parameter for five families of graphs.

Let G = (V, E) be a simple undirected graph. A labeling f : V(G)?{1, …, k} is a local inclusive d-distance vertex irregular labeling of G if every adjacent vertices x, y ? V(G) have distinct weights, with the w... see more

A distance vertex irregular total k-labeling of a simple undirected graph G = G(V, E), is a function f : V(G)?E(G)?{1, 2, …, k} such that for every pair vertices u, v ? V(G) and u ? v, the weights of u and ... see more

Foster (1932) performed a mathematical census for all connected symmetric cubic (trivalent) graphs of order n with n = 512. This census then was continued by Conder et al. (2006) and they obtained the complete list of all connected symmetric cubic gr... see more

A function ?: V(G)?{1, 2, …, k} of a simple graph G is said to be a non-inclusive distance vertex irregular k-labeling of G if the sums of labels of vertices in the open neighborhood of every vertex are distinct and is s... see more

An edge irregular total k-labeling f : V ? E ? 1,2, ..., k of a graph G = (V,E) is a labeling of vertices and edges of G in such a way that for any two different edges uv and u'v', their weights f(u)+f(uv)+f(v) and f(u')+f(u'v')+f(v') are distinct. T... see more

Under a totally irregular total k-labeling of a graph G = (V,E), we found that for some certain graphs, the edge-weight set W(E) and the vertex-weight set W(V) of G which are induced by k = ts(G), W(E... see more

Given graph G(V,E). We use the notion of total k-labeling which is edge irregular. The notion of total edge irregularity strength (tes) of graph G means the minimum integer k used in the edge irregular total k-label... see more

1 of 2.630 pages  |  10  records  |  more records»