منابع مشابه
Disjoint Paths in Densely Embedded Graphs
We consider the following maximum disjoint paths problem (mdpp). We are given a large network, and pairs of nodes that wish to communicate over paths through the network — the goal is to simultaneously connect as many of these pairs as possible in such a way that no two communication paths share an edge in the network. This classical problem has been brought into focus recently in papers discus...
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A drawing of a graph G in the plane is weakly simple if it can be turned into an embedding by an arbitrarily small perturbation. We show that testing, whether a straight-line drawing of a planar graph G in the plane is weakly simple, can be carried out in polynomial time, if a desired embedding of G belongs to a fixed isotopy class. In other words, we show that c-planarity with pipes is tractab...
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Foreword This document is the overlapping union of some course notes that the author used in previous years for graduate courses. It is certainly not in final shape, and comments by e-mail are welcome. Each exercise is labeled with one to three stars, supposed to be an indication of its importance (in particular, depending on whether the result or technique is used later), not of its difficulty...
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This paper is a self-contained development of an invariant of graphs embedded in three-dimensional Euclidean space using the Jones polynomial and skein theory. Some examples of the invariant are computed. An unlinked embedded graph is one that contains only trivial knots or links. Examples show that the invariant is sufficiently powerful to distinguish some different unlinked embeddings of the ...
متن کاملList-coloring embedded graphs
For any fixed surface Σ of genus g, we give an algorithm to decide whether a graph G of girth at least five embedded in Σ is colorable from an assignment of lists of size three in time O(|V (G)|). Furthermore, we can allow a subgraph (of any size) with at most s components to be precolored, at the expense of increasing the time complexity of the algorithm to
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series B
سال: 1992
ISSN: 0095-8956
DOI: 10.1016/0095-8956(92)90064-5