An index of a graph with applications to Knot theory:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Math. Soc.
1993
|
| Series: | American Mathematical Society: Memoirs of the American Mathematical Society
508 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Volume 106, Number 508 (third of 6 numbers) |
| Physical Description: | IX, 101 S. graph. Darst. |
| ISBN: | 0821825704 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV008833339 | ||
| 003 | DE-604 | ||
| 005 | 20230614 | ||
| 007 | t | ||
| 008 | 940112s1993 d||| |||| 00||| eng d | ||
| 020 | |a 0821825704 |9 0-8218-2570-4 | ||
| 035 | |a (OCoLC)28675018 | ||
| 035 | |a (DE-599)BVBBV008833339 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-355 |a DE-384 |a DE-12 |a DE-739 |a DE-29T |a DE-91G |a DE-824 |a DE-19 |a DE-83 |a DE-11 |a DE-188 | ||
| 050 | 0 | |a QA3 | |
| 082 | 0 | |a 511/.5 |2 20 | |
| 084 | |a SK 890 |0 (DE-625)143267: |2 rvk | ||
| 084 | |a SI 130 |0 (DE-625)143082: |2 rvk | ||
| 084 | |a MAT 572f |2 stub | ||
| 084 | |a MAT 055f |2 stub | ||
| 100 | 1 | |a Murasugi, Kunio |d 1929- |e Verfasser |0 (DE-588)172280125 |4 aut | |
| 245 | 1 | 0 | |a An index of a graph with applications to Knot theory |c Kunio Murasugi ; Jozef H. Przytycki |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 1993 | |
| 300 | |a IX, 101 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 508 | |
| 500 | |a Volume 106, Number 508 (third of 6 numbers) | ||
| 650 | 7 | |a Knopentheorie |2 gtt | |
| 650 | 7 | |a Teoria Dos Grafos |2 larpcal | |
| 650 | 7 | |a Topologia Algebrica |2 larpcal | |
| 650 | 7 | |a Topologische ruimten |2 gtt | |
| 650 | 4 | |a Knot theory | |
| 650 | 4 | |a Link theory | |
| 650 | 4 | |a Topological graph theory | |
| 650 | 0 | 7 | |a Topologische Graphentheorie |0 (DE-588)4341226-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Knotentheorie |0 (DE-588)4164318-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Topologische Graphentheorie |0 (DE-588)4341226-9 |D s |
| 689 | 0 | 1 | |a Knotentheorie |0 (DE-588)4164318-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Przytycki, Józef H. |d 1953- |e Verfasser |0 (DE-588)1191785467 |4 aut | |
| 830 | 0 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 508 |w (DE-604)BV008000141 |9 508 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005840132&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
Record in the Search Index
| _version_ | 1805072642853568512 |
|---|---|
| adam_text |
TABLE OF CONTENTS
7
Abstract vi
Introduction vii
Chapter I Index of a graph 1
§1 Preliminaries and notations 1
§2 Index of a graph 4
§3 Cycle index of a graph 9
§4 Index and other invariants 11
§5 Graphs with small indices 10
§6 Index of a reducible graph 22
Chapter II Link Theory 26
§7 Preliminaries and the index of a link 26
§8 Improvement of Morton Frank Williams inequalities 30
§9 Extremal terms of PL(v,z) 30
§10 Braid index of special alternating links 46
§11 Braid index and other invariants 56
Chapter III Braid Index of alternating links 58
§12 Algebraic links 58
§13 Pretzel links 69
§14 Some other alternating links 84
§15 Concluding remarks and conjectures 92
Appendix 95
References 100 |
| any_adam_object | 1 |
| author | Murasugi, Kunio 1929- Przytycki, Józef H. 1953- |
| author_GND | (DE-588)172280125 (DE-588)1191785467 |
| author_facet | Murasugi, Kunio 1929- Przytycki, Józef H. 1953- |
| author_role | aut aut |
| author_sort | Murasugi, Kunio 1929- |
| author_variant | k m km j h p jh jhp |
| building | Verbundindex |
| bvnumber | BV008833339 |
| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3 |
| callnumber-search | QA3 |
| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 890 SI 130 |
| classification_tum | MAT 572f MAT 055f |
| ctrlnum | (OCoLC)28675018 (DE-599)BVBBV008833339 |
| dewey-full | 511/.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511/.5 |
| dewey-search | 511/.5 |
| dewey-sort | 3511 15 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 cb4500</leader><controlfield tag="001">BV008833339</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20230614</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">940112s1993 d||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0821825704</subfield><subfield code="9">0-8218-2570-4</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)28675018</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV008833339</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-355</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-12</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA3</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">511/.5</subfield><subfield code="2">20</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 890</subfield><subfield code="0">(DE-625)143267:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 130</subfield><subfield code="0">(DE-625)143082:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 572f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 055f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Murasugi, Kunio</subfield><subfield code="d">1929-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)172280125</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">An index of a graph with applications to Knot theory</subfield><subfield code="c">Kunio Murasugi ; Jozef H. Przytycki</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, RI</subfield><subfield code="b">American Math. Soc.</subfield><subfield code="c">1993</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">IX, 101 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">American Mathematical Society: Memoirs of the American Mathematical Society</subfield><subfield code="v">508</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Volume 106, Number 508 (third of 6 numbers)</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Knopentheorie</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Teoria Dos Grafos</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Topologia Algebrica</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Topologische ruimten</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Knot theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Link theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Topological graph theory</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Topologische Graphentheorie</subfield><subfield code="0">(DE-588)4341226-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Knotentheorie</subfield><subfield code="0">(DE-588)4164318-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Topologische Graphentheorie</subfield><subfield code="0">(DE-588)4341226-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Knotentheorie</subfield><subfield code="0">(DE-588)4164318-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Przytycki, Józef H.</subfield><subfield code="d">1953-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1191785467</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">American Mathematical Society: Memoirs of the American Mathematical Society</subfield><subfield code="v">508</subfield><subfield code="w">(DE-604)BV008000141</subfield><subfield code="9">508</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005840132&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield></record></collection> |
| id | DE-604.BV008833339 |
| illustrated | Illustrated |
| indexdate | 2024-07-20T04:56:58Z |
| institution | BVB |
| isbn | 0821825704 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005840132 |
| oclc_num | 28675018 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-384 DE-12 DE-739 DE-29T DE-91G DE-BY-TUM DE-824 DE-19 DE-BY-UBM DE-83 DE-11 DE-188 |
| owner_facet | DE-355 DE-BY-UBR DE-384 DE-12 DE-739 DE-29T DE-91G DE-BY-TUM DE-824 DE-19 DE-BY-UBM DE-83 DE-11 DE-188 |
| physical | IX, 101 S. graph. Darst. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Murasugi, Kunio 1929- Verfasser (DE-588)172280125 aut An index of a graph with applications to Knot theory Kunio Murasugi ; Jozef H. Przytycki Providence, RI American Math. Soc. 1993 IX, 101 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 508 Volume 106, Number 508 (third of 6 numbers) Knopentheorie gtt Teoria Dos Grafos larpcal Topologia Algebrica larpcal Topologische ruimten gtt Knot theory Link theory Topological graph theory Topologische Graphentheorie (DE-588)4341226-9 gnd rswk-swf Knotentheorie (DE-588)4164318-5 gnd rswk-swf Topologische Graphentheorie (DE-588)4341226-9 s Knotentheorie (DE-588)4164318-5 s DE-604 Przytycki, Józef H. 1953- Verfasser (DE-588)1191785467 aut American Mathematical Society: Memoirs of the American Mathematical Society 508 (DE-604)BV008000141 508 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005840132&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Murasugi, Kunio 1929- Przytycki, Józef H. 1953- An index of a graph with applications to Knot theory American Mathematical Society: Memoirs of the American Mathematical Society Knopentheorie gtt Teoria Dos Grafos larpcal Topologia Algebrica larpcal Topologische ruimten gtt Knot theory Link theory Topological graph theory Topologische Graphentheorie (DE-588)4341226-9 gnd Knotentheorie (DE-588)4164318-5 gnd |
| subject_GND | (DE-588)4341226-9 (DE-588)4164318-5 |
| title | An index of a graph with applications to Knot theory |
| title_auth | An index of a graph with applications to Knot theory |
| title_exact_search | An index of a graph with applications to Knot theory |
| title_full | An index of a graph with applications to Knot theory Kunio Murasugi ; Jozef H. Przytycki |
| title_fullStr | An index of a graph with applications to Knot theory Kunio Murasugi ; Jozef H. Przytycki |
| title_full_unstemmed | An index of a graph with applications to Knot theory Kunio Murasugi ; Jozef H. Przytycki |
| title_short | An index of a graph with applications to Knot theory |
| title_sort | an index of a graph with applications to knot theory |
| topic | Knopentheorie gtt Teoria Dos Grafos larpcal Topologia Algebrica larpcal Topologische ruimten gtt Knot theory Link theory Topological graph theory Topologische Graphentheorie (DE-588)4341226-9 gnd Knotentheorie (DE-588)4164318-5 gnd |
| topic_facet | Knopentheorie Teoria Dos Grafos Topologia Algebrica Topologische ruimten Knot theory Link theory Topological graph theory Topologische Graphentheorie Knotentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005840132&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT murasugikunio anindexofagraphwithapplicationstoknottheory AT przytyckijozefh anindexofagraphwithapplicationstoknottheory |