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The Planar Cubic Cayley Graphs.
The author obtains a complete description of the planar cubic Cayley graphs, providing an explicit presentation and embedding for each of them. This turns out to be a rich class, comprising several infinite families. He obtains counterexamples to conjectures of Mohar, Bonnington and Watkins. The aut...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence :
American Mathematical Society,
2018.
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| Colección: | Memoirs of the American Mathematical Society.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000Mu 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_on1024279202 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
| 007 | cr |n|---||||| | ||
| 008 | 180224s2018 riu o 000 0 eng d | ||
| 040 | |a EBLCP |b eng |e pn |c EBLCP |d OCLCO |d IDB |d OCLCQ |d LOA |d OCLCO |d OCLCF |d K6U |d OCLCO |d OCLCQ |d OCLCO |d OCLCL | ||
| 020 | |a 9781470442040 | ||
| 020 | |a 1470442043 | ||
| 029 | 1 | |a AU@ |b 000069466206 | |
| 035 | |a (OCoLC)1024279202 | ||
| 050 | 4 | |a QA166.145 |b .G467 2017eb | |
| 082 | 0 | 4 | |a 511/.5 |2 23 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Georgakopoulos, Agelos. | |
| 245 | 1 | 4 | |a The Planar Cubic Cayley Graphs. |
| 260 | |a Providence : |b American Mathematical Society, |c 2018. | ||
| 300 | |a 1 online resource (94 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society ; |v v. 250 | |
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Cover; Title page; Chapter 1. Introductory material and basic facts; 1.1. Introduction; 1.2. Definitions; 1.3. Known facts; 1.4. General facts regarding connectivity; 1.5. Graphs of connectivity 1 or 2; 1.6. Crossings of \mpsc s; Chapter 2. The finite and 1-ended cubic planar Cayley graphs; Chapter 3. The planar multi-ended Cayley graphs with 2 generators; 3.1. Graphs with monochromatic cycles; 3.2. Graphs without monochromatic cycles; Chapter 4. The planar multi-ended Cayley graphs generated by 3 involutions; 4.1. Graphs with 2-coloured cycles; 4.2. Graphs without 2-coloured cycles. | |
| 505 | 8 | |a Chapter 5. OutlookAcknowledgements; Bibliography; Back Cover. | |
| 520 | |a The author obtains a complete description of the planar cubic Cayley graphs, providing an explicit presentation and embedding for each of them. This turns out to be a rich class, comprising several infinite families. He obtains counterexamples to conjectures of Mohar, Bonnington and Watkins. The author's analysis makes the involved graphs accessible to computation, corroborating a conjecture of Droms. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Cayley graphs. | |
| 650 | 0 | |a Graph connectivity. | |
| 650 | 0 | |a Graph theory. | |
| 650 | 6 | |a Graphes de Cayley. | |
| 650 | 6 | |a Connectivité des graphes. | |
| 650 | 7 | |a Cayley graphs |2 fast | |
| 650 | 7 | |a Graph connectivity |2 fast | |
| 650 | 7 | |a Graph theory |2 fast | |
| 758 | |i has work: |a The planar cubic Cayley graphs (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFBxcc8yfm6B4jrg7gDtXd |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Georgakopoulos, Agelos. |t Planar Cubic Cayley Graphs. |d Providence : American Mathematical Society, ©2018 |z 9781470426446 |
| 830 | 0 | |a Memoirs of the American Mathematical Society. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=5291689 |z Texto completo |
| 938 | |a EBL - Ebook Library |b EBLB |n EBL5291689 | ||
| 994 | |a 92 |b IZTAP | ||