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An invariant of spatial graphs
Author(s) -
Yamada Shǔji
Publication year - 1989
Publication title -
journal of graph theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 54
eISSN - 1097-0118
pISSN - 0364-9024
DOI - 10.1002/jgt.3190130503
Subject(s) - combinatorics , mathematics , invariant (physics) , preprint , isotopy , discrete mathematics , computer science , mathematical physics , world wide web
Some useful invariants for links have appeared in the last few years, e.g., the Jones polynomial, the 2-variable Jones polynomial, the Kauffman polynomial, etc. We introduce a 1-variable Laurent polynomial invariant for nondirected spatial graphs. We define two types of spatial graphs: one is a spatial graph with flat vertices and the other is a spatial graph with pliable vertices. Our polynomial is an invariant for flat vertex graphs. The restriction of our invariant to 2-regular graphs is an invariant of links