Geodesic
The Bipartite-Splittance of a Bipartite Graph
Discussiones Mathematicae. Graph Theory, Tome 39 (2019) no. 1, pp. 23-29.

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A bipartite-split graph is a bipartite graph whose vertex set can be partitioned into a complete bipartite set and an independent set. The bipartite- splittance of an arbitrary bipartite graph is the minimum number of edges to be added or removed in order to produce a bipartite-split graph. In this paper, we show that the bipartite-splittance of a bipartite graph depends only on the degree sequence pair of the bipartite graph, and an easily computable formula for it is derived. As a corollary, a simple characterization of the degree sequence pair of bipartite-split graphs is also given.
Keywords: degree sequence pair, bipartite-split graph, bipartite-splittance 
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Yin, Jian-Hua; Guan, Jing-Xin. The Bipartite-Splittance of a Bipartite Graph. Discussiones Mathematicae. Graph Theory, Tome 39 (2019) no. 1, pp. 23-29. http://geodesic.mathdoc.fr/item/DMGT_2019_39_1_a2/

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