On assembly of four-connected graphs. I, Minimal four- connected graphs /

Abstract: "A pseudo-subgraph of a graph G is a special minor of G with restricted edge contractions allowed. In this first paper of a series, it is shown that every 4-connected graph contains a pseudo-subgraph that is either the complete graph K₅ or the double-axle wheel W²₄ on four vertices...

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Bibliographic Details
Main Author: Chen, Jianer
Other Authors: Kanevsky, Arkady, 1961-
Format: Book
Language:English
Published: College Station, Tex. : Texas A & M University, Computer Science Dept., [1992]
Series:Technical report (Texas A & M University. Computer Science Department) ; 92-019.
Subjects:
Description
Summary:Abstract: "A pseudo-subgraph of a graph G is a special minor of G with restricted edge contractions allowed. In this first paper of a series, it is shown that every 4-connected graph contains a pseudo-subgraph that is either the complete graph K₅ or the double-axle wheel W²₄ on four vertices. This result establishes the foundation for a structural theorem and efficient algorithms for 4-connected graphs that will appear in the subsequent papers in the series."
Item Description:"August 1992."
Physical Description:26 leaves : illustrations ; 28 cm.
Bibliography:Includes bibliographical references.