02625nam 2200589 450 991082787140332120170821171918.01-4704-0085-5(CKB)3360000000464692(EBL)3113739(SSID)ssj0000973232(PQKBManifestationID)11611890(PQKBTitleCode)TC0000973232(PQKBWorkID)10958535(PQKB)10905484(MiAaPQ)EBC3113739(RPAM)1579458(PPN)195413911(EXLCZ)99336000000046469220140905h19931993 uy 0engur|n|---|||||txtccrAn index of a graph with applications to knot theory /Kunio Murasugi ; Jozef H. PrzytyckiProvidence, Rhode Island :American Mathematical Society,1993.©19931 online resource (118 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 106, Number 508"November 1993, Volume 106, Number 508 (third of 6 numbers)."0-8218-2570-4 Includes bibliographical references.""Table of Contents""; ""Abstract""; ""Introduction""; ""Chapter I: Index of a graph""; ""Â1 Preliminaries and notations""; ""Â2 Index of a graph""; ""Â3 Cycle index of a graph""; ""Â4 Index and other invariants""; ""Â5 Graphs with small indices""; ""Â6 Index of a reducible graph""; ""Chapter II: Link Theory""; ""Â7 Preliminaries and the index of a link""; ""Â8 Improvement of Morton-Frank-Williams inequalities""; ""Â9 Extremal terms of P[sub(L)](V,Z)""; ""Â10 Braid index of special alternating links""; ""Â11 Braid index and other invariants""""Chapter III: Braid Index of alternating links""""Â12 Algebraic links""; ""Â13 Pretzel links""; ""Â14 Some other alternating links""; ""Â15 Concluding remarks and conjectures""; ""Appendix""; ""References""Memoirs of the American Mathematical Society ;Volume 106, Number 508.Topological graph theoryKnot theoryLink theoryTopological graph theory.Knot theory.Link theory.511/.5Murasugi Kunio1929-1606314Przytycki Jozef H.MiAaPQMiAaPQMiAaPQBOOK9910827871403321An index of a graph with applications to knot theory3932047UNINA