On some numerical characteristics of a bipartite graph
نویسنده
چکیده
The paper considers an equivalence relation in the set of vertices of a bipartite graph. Some numerical characteristics showing the cardinality of equivalence classes are introduced. A combinatorial identity that is in relationship to these characteristics of the set of all bipartite graphs of the type g = 〈Rg ∪Cg , Eg〉 is formulated and proved, where V = Rg ∪ Cg is the set of vertices, Eg is the set of edges of the graph g, |Rg | = m ≥ 1, |Cg| = n ≥ 1, |Eg| = k ≥ 0, m,n and k are integers.
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عنوان ژورنال:
- CoRR
دوره abs/1404.6419 شماره
صفحات -
تاریخ انتشار 2014