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IEICE TRANSACTIONS on Fundamentals

Convex Bipartite Graphs and Bipartite Circle Graphs

Takashi KIZU, Yasuchika HARUTA, Toshiro ARAKI, Toshinobu KASHIWABARA

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Summary :

Let G = (A, B, E) be a bipartite graph with bipartition (A:B) of vertex set and edge set E. For each vertex v, Γ(v) denotes the set of adjacent vertices to v. G is said to be t-convex on the vertex set A if there is a tree and a one-to-one correspondence between vertices in A and edges of the tree such that for each vertex b B the edges of the tree corresponding to vertices in Γ(b) form a path on the tree. G is doubly t-convex if it is convex both on vertex set A and on B. In this paper, we show that, the class of doubly t-convex graphs is exactly the class of bipartite circle graphs.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E81-A No.5 pp.789-795
Publication Date
1998/05/25
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Type of Manuscript
Special Section PAPER (Special Section on Discrete Mathematics and Its Applications)
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