Algorithmic aspects of bipartite graphs.
Bakonyi, Mihály, Varness, Erik M. (1995)
International Journal of Mathematics and Mathematical Sciences
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Bakonyi, Mihály, Varness, Erik M. (1995)
International Journal of Mathematics and Mathematical Sciences
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Samuel Jezný, Marián Trenkler (1983)
Czechoslovak Mathematical Journal
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Ľubica Šándorová, Marián Trenkler (1991)
Mathematica Bohemica
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The paper is concerned with the existence of non-negative or positive solutions to , where is the vertex-edge incidence matrix of an undirected graph. The paper gives necessary and sufficient conditions for the existence of such a solution.
Marcelo H. de Carvalho, Cláudio L. Lucchesi, U. S. R. Murty (2005)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
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Andrej Taranenko, Aleksander Vesel (2012)
Discussiones Mathematicae Graph Theory
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As a general case of molecular graphs of benzenoid hydrocarbons, we study plane bipartite graphs with Kekulé structures (1-factors). A bipartite graph G is called elementary if G is connected and every edge belongs to a 1-factor of G. Some properties of the minimal and the maximal 1-factor of a plane elementary graph are given. A peripheral face f of a plane elementary graph is reducible, if the removal of the internal vertices and edges of the path that is the intersection...