INTRODUCTION TO GRAPH-LINK THEORY

DOI10.1142/S0218216509007191zbMath1189.57006arXiv1001.0384OpenAlexW2963817057MaRDI QIDQ3397602

Vassily O. Manturov, D. P. Il'yutko

Publication date: 22 September 2009

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.0384

zbMATH Keywords

Jones polynomialchord diagramKauffman bracketgraph-linkvirtual knotKnot

Mathematics Subject Classification ID

Relations of low-dimensional topology with graph theory (57M15)

Related Items

Graph-links: nonrealizability, orientation, and Jones polynomial ⋮ A BRACKET POLYNOMIAL FOR GRAPHS, IV: UNDIRECTED EULER CIRCUITS, GRAPH-LINKS AND MULTIPLY MARKED GRAPHS ⋮ Multistring based matrices ⋮ Parity in knot theory and graph-links ⋮ An invariant of graph-links valued in graphs and an almost classification of graph-links ⋮ A BRACKET POLYNOMIAL FOR GRAPHS, III: VERTEX WEIGHTS ⋮ FREE KNOTS AND GROUPS ⋮ A BRACKET POLYNOMIAL FOR GRAPHS, II: LINKS, EULER CIRCUITS AND MARKED GRAPHS ⋮ Binary nullity, Euler circuits and interlace polynomials ⋮ Embeddings of Four-valent Framed Graphs into 2-surfaces ⋮ AN EQUIVALENCE BETWEEN THE SET OF GRAPH-KNOTS AND THE SET OF HOMOTOPY CLASSES OF LOOPED GRAPHS

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