QUASI m-CAYLEY STRONGLY REGULAR GRAPHS Kutnar, Klavdija; Malnic, Aleksander; Martinez, Luis ...
Journal of the Korean Mathematical Society,
11/2013, Volume:
50, Issue:
6
Journal Article
Peer reviewed
Open access
We introduce a new class of graphs, called quasi m-Cayleygraphs, having good symmetry properties, in the sense that they admita group of automorphisms G that fixes a vertex of the graph and ...actssemiregularly on the other vertices. We determine when these graphs arestrongly regular, and this leads us to define a new algebro-combinatorialstructure, called quasi-partial difference family, or QPDF for short. Wegive several infinite families and sporadic examples of QPDFs. We alsostudy several properties of QPDFs and determine, under several condi-tions, the form of the parameters of QPDFs when the group G is cyclic. KCI Citation Count: 5
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