EDGE-TRANSITIVE

作品数：8被引量：9H指数：2
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Normal edge-transitive Cayley graphs on a class of non-abelian groups
《Frontiers of Mathematics in China》2024年第4期215-227,共13页Nuo LI Qi DENG Hua ZHANG 
Let Г=Cay(G,S)be the Cayley graph of a group G with respect to its subset S.The graph is said to be normal edge-transitive if the normalizer of G in the automorphism group Aut(T)of F acts transitively on the edge set...
关键词：Cayley graph symmetric graph normal edge-transitivity 
Edge-Transitive Cyclic Covers of Complete Graphs with Prime Power Order
《Journal of Applied Mathematics and Physics》2022年第2期289-300,共12页Zhaohong Huang Yin Liu 
Characterizing regular covers of symmetric graphs is one of the fundamental topics in the field of algebraic graph theory, and is often a key step for approaching general symmetric graphs. Complete graphs, which are t...
关键词：COVER Complete Graph Normal Quotient Graph AUTOMORPHISM 
Cubic Semisymmetric Graphs of Order 2qp^2
《Acta Mathematicae Applicatae Sinica》2019年第3期629-637,共9页Xiao-hui HUA Song-tao GUO Li CHEN 
Supported by the National Natural Science Foundation of China(Nos.11301159,11671030,11601132,11501176);the Education Department of Henan Science and Technology Research Key Project(No.13A110543)
A regular edge-transitive graph is said to be semisymmetric if it is not vertex-transitive.Let p be a prime.By Folkman[J.Combin.Theory 3(1967),215–232],there is no cubic semisymmetric graph of order 2p or 2p^2,and by...
关键词：Bi-Cayley GRAPH EDGE-TRANSITIVE GRAPH semisymmetric GRAPH REGULAR COVERING 
Finite Locally-quasiprimitive Graphs
《Algebra Colloquium》2014年第4期627-634,共8页Shujiao Song Caiheng Li Dianjun Wang 
A graph F is called G-locally-quasiprimitive if each normal subgroup of Gv acts on F（v） trivially or transitively for every vertex v. In this paper we analyse the global action and the structural information of such...
关键词：locally-quasiprimitive EDGE-TRANSITIVE O＇Nan-Scott type 
Tetravalent Edge-transitive Cayley Graphs of PGL(2, p)
《Acta Mathematicae Applicatae Sinica》2013年第4期837-842,共6页Xiao-hui HUA Shang-jin XU Yun-ping DENG 
Supported by the National Natural Science Foundation of China(No.11171020,10961004);the Henan Province Foundation and Frontier Technology Research Plan(No.112300410205);the Education Department of Henan Science and Technology Research Key Project(No.13A110543);the Doctoral Fundamental Research Fund of Hennan Normal University(11102)
t Let F = Cay（G, S）, R（G） be the right regular representation of G. The graph Г is called normal with respect to G, if R（G） is normal in the full automorphism group Aut（F） of F. Г is called a bi-normal with ...
关键词：Cayley graph NORMAL bi-normal simple group 
Normal edge-transitive Cayley graphs on non-abelian groups of order 4p,where p is a prime number被引量：7
《Science China Mathematics》2013年第1期213-219,共7页DARAFSHEH Mohammad Reza ASSARI Amir 
We determine all connected normal edge-transitive Cayley graphs on non-abelian groups with order 4p, where p is a prime number. As a consequence we prove if IGI = 25p, δ = 0, 1, 2 and p prime, then F 1 Cay（G, S） i...
关键词：Cayley graph automorphism group normal edge-transitive graph 
Graphs on which a group of order pq acts edge-transitively
《Applied Mathematics(A Journal of Chinese Universities)》2010年第4期489-495,共7页CHEN Shang-di GUO Yan-hong 
Supported by the NNSF of China (60776810,10871205);the NSF of Tianjin (08JCYBJC13900);the KYS of CAUC (09CAUC-S02)
Let F be a finite simple undirected graph with no isolated vertices. Let p, q be prime numbers with p≥q. We complete the classification of the graphs on which a group of order pq acts edge-transitively. The results a...
关键词：Graph EDGE-TRANSITIVE vertex transitive. 
Multiply-twisted Hypercube with Four or Less Dimensions is Vertex-transitive被引量：2
《Chinese Quarterly Journal of Mathematics》2005年第4期430-434,共5页HUANG Jia XU Jun-ming 
Supported by ANSF(01046102);Supported by the NNSF of China(10271114)
P Kulasinghe and S Bettayeb showed that any multiply-twisted hypercube withfive or more dimensions is not vertex-transitive. This note shows that any multiply-twistedhypercube with four or less dimensions is vertex-tr...
关键词：VERTEX-TRANSITIVE EDGE-TRANSITIVE multiply-twisted hypercube crossed cube 
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