It is well known that a shaded link diagram corresponds to a signed plane multi-graph.In graph theory,line graph is an old and important concept originally introduced by H.Whitney in 1932.In this paper we define the l...It is well known that a shaded link diagram corresponds to a signed plane multi-graph.In graph theory,line graph is an old and important concept originally introduced by H.Whitney in 1932.In this paper we define the line graph link to be a link which has a diagram whose corresponding signed plane graph is a signed line graph.The main purpose of the paper is to illustrate the structure of planar line graphs,which permits us to deal with its signed Tutte polynomial and the Jones polynomials of line graph links.展开更多
基金This paper is supported by the Fundamental Research Funds for the Central Universities(Grant No.20720190071).
文摘It is well known that a shaded link diagram corresponds to a signed plane multi-graph.In graph theory,line graph is an old and important concept originally introduced by H.Whitney in 1932.In this paper we define the line graph link to be a link which has a diagram whose corresponding signed plane graph is a signed line graph.The main purpose of the paper is to illustrate the structure of planar line graphs,which permits us to deal with its signed Tutte polynomial and the Jones polynomials of line graph links.
