TY - BOOK AU - Murasugi,Kunio AU - Przytycki,Jozef H. TI - Index of a Graph with Applications to Knot Theory T2 - Memoirs of the American Mathematical Society SN - 9781470400859 AV - QA166.195 -- .M873 1993eb U1 - 511/.5 PY - 1993/// CY - Providence PB - American Mathematical Society KW - Topological graph theory KW - Knot theory KW - Link theory KW - Electronic books N1 - Intro -- Table of Contents -- Abstract -- Introduction -- Chapter I: Index of a graph -- 1 Preliminaries and notations -- 2 Index of a graph -- 3 Cycle index of a graph -- 4 Index and other invariants -- 5 Graphs with small indices -- 6 Index of a reducible graph -- Chapter II: Link Theory -- 7 Preliminaries and the index of a link -- 8 Improvement of Morton-Frank-Williams inequalities -- 9 Extremal terms of P[sub(L)](V,Z) -- 10 Braid index of special alternating links -- 11 Braid index and other invariants -- Chapter III: Braid Index of alternating links -- 12 Algebraic links -- 13 Pretzel links -- 14 Some other alternating links -- 15 Concluding remarks and conjectures -- Appendix -- References UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113739 ER -