Open AccessOn tetravalent normal edge-transitive Cayley graphs on the modular group
Author(s) -
Hesam Sharifi,
M. R. Darafsheh
Publication year - 2017
Publication title -
turkish journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.454
H-Index - 27
eISSN - 1303-6149
pISSN - 1300-0098
DOI - 10.3906/mat-1604-109
Subject(s) - cayley graph , mathematics , combinatorics , transitive relation , order (exchange) , graph , group (periodic table) , vertex transitive graph , normal subgroup , cayley's theorem , discrete mathematics , voltage graph , physics , line graph , finance , quantum mechanics , economics
A Cayley graph Γ = Cay(G,S) on a group G with respective to a subset S ⊆ G , S = S−1, 1 ̸∈ S , is said to be normal edge-transitive if NAut(Γ)(ρ(G)) is transitive on edges of Γ, where ρ(G) is a subgroup of Aut(Γ) isomorphic to G . We determine all connected tetravalent normal edge-transitive Cayley graphs on the modular group of order 8n in the case that every element of S is of order 4n .
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom