Suborthogonal double covers of complete graphs
نویسنده
چکیده
A family G of isomorphic copies of a given graph G is said to be a suborthogonal double cover (SODC) of the complete graph K n by G, if every edge of K n belongs to exactly two members of G and any two diierent elements from G share at most one edge. We introduce the notion of an SODC as a generalization of the well-known concept of orthogonal double covers. Our objective is to investigate the sets S(G) of integers n allowing an SODC of K n by a given graph G. We shall prove that S(G) contains almost all integers n satisfying certain necessary conditions.
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