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作者 Georgakopoulos, Agelos, author
書名 The planar cubic Cayley graphs / Agelos Georgakopoulos
出版項 Providence, Rhode Island : American Mathematical Society, [2017]
國際標準書號 9781470426446
book jacket
館藏地 索書號 處理狀態 OPAC 訊息 條碼
 數學所圖書室  QA166.145 G46 2017    在架上    30340200557902
說明 v, 82 pages : illustrations ; 26 cm
系列 Memoirs of the American Mathematical Society, 0065-9266 ; volume 250, number 1190
Memoirs of the American Mathematical Society ; no. 1190
附註 Text in English
We obtain 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. We obtain counterexamples to conjectures of Mohar, Bonnington and Watkins. Our analysis makes the involved graphs accessible to computation, corroborating a conjecture of Droms
Introductory material and basic facts -- The finite and 1-ended cubic planar Cayley graphs -- The planar multi-ended Cayley graphs with 2 generators -- The planar multi-ended Cayley graphs generated by 3 involutions -- Outlook -- Bibliography
"Volume 250, Number 1190 (third of 6 numbers), November 2017."
Includes bibliographical references
Host Item 997839544401631
主題 Cayley graphs
Graph connectivity
Graph theory
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