Pancyclic Cayley Graphs

Parmenter, M. M.. "Pancyclic Cayley Graphs." Serdica Mathematical Journal 38.1-3 (2012): 37-42. <http://eudml.org/doc/288259>.

@article{Parmenter2012,
abstract = {2010 Mathematics Subject Classification: Primary 05C25. Secondary 20K01, 05C45.Let Cay(G;S) denote the Cayley graph on a finite group G with connection set S. We extend two results about the existence of cycles in Cay(G;S) from cyclic groups to arbitrary finite Abelian groups when S is a “natural” set of generators for G.This research was supported in part by a Discovery Grant from the Natural Sciences and Engineering Research Council of Canada.},
author = {Parmenter, M. M.},
journal = {Serdica Mathematical Journal},
keywords = {Cayley Graph; Pancyclic; Abelian Group},
language = {eng},
number = {1-3},
pages = {37-42},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Pancyclic Cayley Graphs},
url = {http://eudml.org/doc/288259},
volume = {38},
year = {2012},
}

TY - JOUR
AU - Parmenter, M. M.
TI - Pancyclic Cayley Graphs
JO - Serdica Mathematical Journal
PY - 2012
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 38
IS - 1-3
SP - 37
EP - 42
AB - 2010 Mathematics Subject Classification: Primary 05C25. Secondary 20K01, 05C45.Let Cay(G;S) denote the Cayley graph on a finite group G with connection set S. We extend two results about the existence of cycles in Cay(G;S) from cyclic groups to arbitrary finite Abelian groups when S is a “natural” set of generators for G.This research was supported in part by a Discovery Grant from the Natural Sciences and Engineering Research Council of Canada.
LA - eng
KW - Cayley Graph; Pancyclic; Abelian Group
UR - http://eudml.org/doc/288259
ER -