Planar graphs with no 6-wheel minor
نویسندگان
چکیده
منابع مشابه
Projective-Planar Graphs with No K3, 4-Minor
There are several graphs H for which the precise structure of graphs that do not contain a minor isomorphic to H is known. In particular, such structure theorems are known for K5 [13], V8 [8] and [7], the cube [3], the octahedron [4], and several others. Such characterizations can often be very useful, e.g., Hadwiger’s conjecture for k = 4 is verified by using the structure for K5-free graphs, ...
متن کاملProjective-Planar Graphs with no K3, 4-Minor. II
The authors previously published an iterative process to generate a class of projectiveplanarK3,4-free graphs called ‘patch graphs’. They also showed that any simple, almost 4-connected, nonplanar, and projective-planar graph that is K3,4-free is a subgraph of a patch graph. In this paper, we describe a simpler and more natural class of cubic K3,4free projective-planar graphs which we call Möbi...
متن کاملWheel-free planar graphs
A wheel is a graph formed by a chordless cycle C and a vertex u not in C that has at least three neighbors in C. We prove that every 3-connected planar graph that does not contain a wheel as an induced subgraph is either a line graph or has a clique cutset. We prove that every planar graph that does not contain a wheel as an induced subgraph is 3-colorable. AMS classification: 05C75 ∗Partially ...
متن کاملGraphs with no P̄7-minor
Let P̄7 denote the complement of a path on seven vertices. We determine all 4-connected graphs that do not contain P̄7 as a minor.
متن کاملGraphs with no 7-wheel subdivision
The subgraph homeomorphism problem, SHP(H), has been shown to be polynomial-time solvable for any fixed pattern graph H , but practical algorithms have been developed only for a few specific pattern graphs. Among these are the wheels with four, five, and six spokes. This paper examines the subgraph homeomorphism problem where the pattern graph is a wheel with seven spokes, and gives a result th...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 1993
ISSN: 0012-365X
DOI: 10.1016/0012-365x(93)90565-b