Index of a Graph with Applications to Knot Theory.
- 1st ed.
- 1 online resource (118 pages)
- Memoirs of the American Mathematical Society ; v.106 .
- Memoirs of the American Mathematical Society .
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.
9781470400859
Topological graph theory. Knot theory. Link theory.