Commuting Involution Graphs for 4-Dimensional Projective Symplectic Groups
MetadataShow full item record
AbstractAbstract: For a group G and X a subset of G the commuting graph of G on X, denoted by C(G, X), is the graph whose vertex set is X with x, y∈X joined by an edge if x≠y and x and y commute. If the elements in X are involutions, then C(G, X) is called a commuting involution graph. This paper studies C(G, X) when G is a 4-dimensional projective symplectic group over a finite field and X a G-conjugacy class of involutions, determining the diameters and structure of the discs of these graphs.
CitationGraphs and Combinatorics, volume 36, issue 4, page 959-1000
DescriptionFrom Springer Nature via Jisc Publications Router
History: received 2019-07-25, rev-recd 2019-07-25, registration 2020-03-04, pub-electronic 2020-06-04, online 2020-06-04, pub-print 2020-07
Publication status: Published