Note on T-Minimal Complete Bipartite Graphs

Author:

Bouwer I. Z.,Broere I.

Abstract

The thickness of a graph G is the smallest natural number t such that G is the union of t planar subgraphs. A graph G is t-minimal if its thickness is t and if every proper subgraph of G has thickness < t. (These terms were introduced by Tutte in [3]. In [1, p. 51] Beineke employs the term t-critical instead of t-minimal.) The complete bipartite graph K(m, n) consists of m 'dark1 points, n 'light' points, and the mn lines joining points of different types.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On the Bar Visibility Number of Complete Bipartite Graphs;SIAM Journal on Discrete Mathematics;2021-01

2. The thickness of the Kronecker product of graphs;Ars Mathematica Contemporanea;2020-10-22

3. The Thickness of the Cartesian Product of Two Graphs;Canadian Mathematical Bulletin;2016-12-01

4. The Thickness of Graphs: A Survey;Graphs and Combinatorics;1998-03-23

5. Construction of Critical Graphs by Replacing Edges;Graph Theory in Memory of G.A. Dirac;1988

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