On difference graphs

ISSN: 08353026
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Abstract

We show that if G has an odd graceful labeling f such that max{f (x) : f (x) is even, x epsilon A} < min{f (x) : f (x) is odd, x epsilon B}, then G is an alpha-graph, and if G is an alpha-graph, then G circle dot <(K)over bar>(w) is odd graceful for all w >= 1. Also we show that if G(1) is an alpha-graph and G(2) is an odd graceful, then G(1) boolean OR G(2) is odd graceful. Finally we show that some families of graphs are alpha-graphs and odd graceful.

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APA

Seoud, M. A., & Helmi, E. F. (2011). On difference graphs. Journal of Combinatorial Mathematics and Combinatorial Computing, 76, 189–199.

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