TY  - BOOK
AU  - Georgakopoulos,Agelos
TI  - The Planar Cubic Cayley Graphs
T2  - Memoirs of the American Mathematical Society
SN  - 9781470442040
AV  - QA166.145 .G467 2017 
U1  - 511/.5 
PY  - 2018///
CY  - Providence
PB  - American Mathematical Society
KW  - Cayley graphs
KW  - Graph connectivity
KW  - Graph theory
KW  - Electronic books
N1  - 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 -- Chapter 5. Outlook -- Acknowledgements -- Bibliography -- Back Cover
N2  - 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
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=5291689
ER  -