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On Cayley Digraphs That Do Not Have Hamiltonian Paths
Author
Source
International Journal of Combinatorics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-26
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We construct an infinite family {Cay→(Gi;ai;bi)} of connected, 2-generated Cayley digraphs that do not have hamiltonian paths, such that the orders of the generators ai and bi are unbounded.
We also prove that if G is any finite group with |[G,G]|≤3, then every connected Cayley digraph on G has a hamiltonian path (but the conclusion does not always hold when |[G,G]|=4 or 5).
American Psychological Association (APA)
Morris, Dave Witte. 2013. On Cayley Digraphs That Do Not Have Hamiltonian Paths. International Journal of Combinatorics،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-493694
Modern Language Association (MLA)
Morris, Dave Witte. On Cayley Digraphs That Do Not Have Hamiltonian Paths. International Journal of Combinatorics No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-493694
American Medical Association (AMA)
Morris, Dave Witte. On Cayley Digraphs That Do Not Have Hamiltonian Paths. International Journal of Combinatorics. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-493694
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-493694