Vertex irregular reflexive labeling of prisms and wheels

Title: Vertex irregular reflexive labeling of prisms and wheels
Creator: Tanna, Dushyant; Ryan, Joe; Semaničová-Fenovčíková, Andrea; Bača, Martin
Relation: AKCE International Journal of Graphs and Combinatorics Vol. 17, Issue 1, p. 51-59
Publisher Link: http://dx.doi.org/10.1016/j.akcej.2018.08.004
Publisher: Kalasalingam University
Resource Type: journal article
Date: 2020
Description: For a graph G we define k-labeling ρ such that the edges of G are labeled with integers {1,2,…,k_e} and the vertices of G are labeled with even integers {0,2,…,2k_v}, where k=max{k_e,2k_v}. The labeling ρ is called a vertex irregular reflexive k-labeling if distinct vertices have distinct weights, where the vertex weight is defined as the sum of the label of that vertex and the labels of all edges incident this vertex. The smallest k for which such labeling exists is called the reflexive vertex strength of G.
Identifier: http://hdl.handle.net/1959.13/1449937
Identifier: uon:43783
Identifier: ISSN:0972-8600
Language: eng
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