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Research Article Open access CC BY 3.0

Orthogonal Double Covers of Kn,n by Infinite Classes of Disjoint Unions of Certain Complete Bipartite Spanning Subgraphs

S. El-Serafi, R. El-Shanawany, A. El-Mesady

Advances in Research · pp. 596–604 · Published 24 Jun 2014

10.9734/AIR/2014/10262

Abstract

An orthogonal double cover (ODC) of any graph H  is a collection of spanning subgraphs of H such that every two of them share exactly one edge at most, and every edge of the graph H belongs to exactly two of the spanning graphs. In this paper, we are concerned with the orthogonal double covers of complete bipartite graphs by infinite classes of disjoint unions of certain complete bipartite spanning subgraphs.

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