Embedding a Graph Into the Torus in Linear Time

Embedding a Graph Into the Torus in Linear Time (1994)

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by Martin Juvan , Joze Marincek , Bojan Mohar

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Datum	Value	Source
TITLE	Embedding a Graph Into the Torus in Linear Time	user correction - Legacy Corrections
AUTHOR NAME	Martin Juvan	SVM HeaderParse 0.1
AUTHOR AFFIL	Department of Mathematics; University of Ljubljana	SVM HeaderParse 0.2
AUTHOR ADDR	Jadranska 19, 61111 Ljubljana; Slovenia	SVM HeaderParse 0.1
AUTHOR NAME	Joze Marincek	SVM HeaderParse 0.1
AUTHOR AFFIL	Department of Mathematics; University of Ljubljana	SVM HeaderParse 0.2
AUTHOR ADDR	Jadranska 19, 61111 Ljubljana; Slovenia	SVM HeaderParse 0.1
AUTHOR NAME	Bojan Mohar	SVM HeaderParse 0.1
AUTHOR AFFIL	Department of Mathematics; University of Ljubljana	SVM HeaderParse 0.2
AUTHOR ADDR	Jadranska 19, 61111 Ljubljana; Slovenia	SVM HeaderParse 0.1
ABSTRACT	A linear time algorithm is presented that, for a given graph G, finds an embedding of G in the torus whenever such an embedding exists, or exhibits a subgraph\Omega of G of small branch size that cannot be embedded in the torus. 1 Introduction Let K be a subgraph of G, and suppose that we are given an embedding of K in some surface. The embedding extension problem asks whether it is embedding extension problem possible to extend the embedding of K to an embedding of G in the same surface, and any such embedding is an embedding extension of K to G. An embedding extension obstruction for embedding extensions is a subgraph\Omega of G \Gamma E(K) such that obstruction the embedding of K cannot be extended to K [ \Omega\Gamma The obstruction is small small if K [\Omega is homeomorphic to a graph with a small number of edges. If\Omega is small, then it is easy to verify (for example, by checking all the possibilities Supported in part by the Ministry of Science and Technolo...	user correction - Legacy Corrections
YEAR	1994	user correction - Legacy Corrections
CITATIONS	22 found	ParsCit 1.0