IJPAM: Volume 98, No. 3 (2015)
Department of Computer Sciences and Mathematics
Abstract. An image of a plane graph, of order and size , is said to be a vertex-edge-magic plane graph if there is a bijection such that for all faces of , except the infinite face, the sum of the labels of its vertices and edges is a constant . Such a bijection will be called a vertex-edge-magic plane labeling of . In case that all the finite sides of a graph having the same size we will be interested in determining the minimum and the maximum number, , such that there exists a vertex-edge-magic labeling of , in which is the sum of the vertex and edge labeling of each face. In this paper we find such a minimum and maximum numbers for a wheel with even order.
Received: August 21, 2014
AMS Subject Classification:
Key Words and Phrases: magic graph, plane graph, wheel, minimal magic graph, maximal magic graph, (1,1,0) magic
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DOI: 10.12732/ijpam.v98i3.3 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 313 - 321