In graph-theoretic mathematics, a biregular graph[1] or semiregular bipartite graph[2] is a bipartite graph for which every two vertices on the same side of the given bipartition have the same degree as each other. If the degree of the vertices in is and the degree of the vertices in is , then the graph is said to be -biregular.
The graph of the rhombic dodecahedron is biregular.
^Scheinerman, Edward R.; Ullman, Daniel H. (1997), Fractional graph theory, Wiley-Interscience Series in Discrete Mathematics and Optimization, New York: John Wiley & Sons Inc., p. 137, ISBN 0-471-17864-0, MR 1481157.
^Dehmer, Matthias; Emmert-Streib, Frank (2009), Analysis of Complex Networks: From Biology to Linguistics, John Wiley & Sons, p. 149, ISBN 9783527627998.
In graph-theoretic mathematics, a biregulargraph or semiregular bipartite graph is a bipartite graph G = ( U , V , E ) {\displaystyle G=(U,V,E)} for which...
bipartite graph with girth at least six can be viewed as the Levi graph of an abstract incidence structure. Levi graphs of configurations are biregular, and...
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balanced bipartite graph. If all vertices on the same side of the bipartition have the same degree, then G {\displaystyle G} is called biregular. When modelling...
equals the number of edges in the graph. In particular, both subsets have equal degree sums. For biregulargraphs, with a partition of the vertices into...
{\sqrt {|S||T|(1-|S|/n)(1-|T|/n)}}\,} using similar techniques. For biregulargraphs, we have the following variation, where we take λ {\displaystyle \lambda...
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different biregulargraph whose bipartition is formed by the vertices and 5-cycles of the Petersen graph. A perfect dominating set S of a graph G is a set...
exist). Let B {\displaystyle B} be a ( c , d ) {\displaystyle (c,d)} -biregulargraph between a set of n {\displaystyle n} nodes { v 1 , ⋯ , v n } {\displaystyle...
coloring. For any planar interval colorable graph G on n vertices t(G)≤(11/6)n. A bipartite graph is (a, b)-biregular if everyvertex in one part has degree...
Cr(Pn(k)) of birational automorphisms; any biregular automorphism is linear, so PGL coincides with the group of biregular automorphisms. Projective transformation...
in general linear position, which is true because the Veronese map is biregular: i.e., if the image of five points satisfy a relation, then the relation...
Also, each configuration has a corresponding biregular bipartite graph known as its incidence or Levi graph. Given a finite set X (of elements called points)...
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