Finite edge-transitive bi-circulants

2021 ◽  
Vol 405 ◽  
pp. 126268
Author(s):  
Jiangmin Pan ◽  
Fugang Yin
Keyword(s):  
Edge Transitive

scholarly journals Tetravalent edge-transitive Cayley graphs of Frobenius groups

2021 ◽  
Vol 53 (2) ◽  
pp. 527-551
Author(s):  
Lei Wang ◽  
Yin Liu ◽  
Yanxiong Yan
Keyword(s):  
Cayley Graphs ◽  
Frobenius Groups ◽  
Edge Transitive

scholarly journals Normal Edge-Transitive Cayley Graphs of the Group U6n

2014 ◽  
Vol 2014 ◽  
pp. 1-4
Author(s):  
A. Assari ◽  
F. Sheikhmiri
Keyword(s):  
Cayley Graph ◽  
Cayley Graphs ◽  
The Right ◽  
Edge Transitive

A Cayley graph of a group G is called normal edge-transitive if the normalizer of the right representation of the group in the automorphism of the Cayley graph acts transitively on the set of edges of the graph. In this paper, we determine all connected normal edge-transitive Cayley graphs of the group U6n.

EDGE-TRANSITIVE GRAPH AUTOMORPHISMS AND PERIODIC SURFACE HOMEOMORPHISMS

1999 ◽  
Vol 09 (09) ◽  
pp. 1803-1813 ◽  
Author(s):  
JÉRÔME E. LOS ◽  
ZBIGNIEW H. NITECKI
Keyword(s):  
Equivalence Relation ◽  
Complete List ◽  
Transitive Graph ◽  
Periodic Surface ◽  
Natural Equivalence ◽  
Surface Homeomorphisms ◽  
Edge Transitive ◽  
Automorphism Of A Graph

An automorphism of a graph is edge-transitive if it acts transitively on the set of geometric edges (components of the complement of the vertices), or equivalently, if there is no nontrivial invariant subgraph. Every such automorphism can be embedded as the restriction to an invariant spine of some orientation-preserving periodic homeomorphism of a punctured surface. We find all the edge-transitive graph automorphisms and for each, find a complete list (up to a natural equivalence relation) of the possible ways that it can be embedded in a periodic homeomorphism.

Topological transformations performed on nets via their quotient graphs

2006 ◽  
Vol 221 (1) ◽  
Author(s):  
Jean-Guillaume Eon
Keyword(s):  
Quotient Graph ◽  
Quotient Graphs ◽  
Edge Transitive ◽  
Topological Transformations

AbstractTopological transformations in nets resulting from the insertion or deletion of edges or vertices are analyzed through the analogous operations performed on their quotient graphs. The role of strong rings and cages of the net is emphasized. It is shown that closed trails of the oriented quotient graph define the topology of 3-periodic nets derived from regular, vertex and edge transitive, 4-periodic minimal nets.

scholarly journals Recipes for edge-transitive tetravalent graphs

2020 ◽  
Vol 3 (1) ◽  
pp. #P1.08 ◽  
Author(s):  
Primož Potočnik ◽  
Stephen E. Wilson
Keyword(s):  
Edge Transitive

scholarly journals On Edge-Transitive Graphs of Square-Free Order

10.37236/4573 ◽  
2015 ◽  
Vol 22 (3) ◽  
Author(s):  
Cai Heng Li ◽  
Zai Ping Lu ◽  
Gai Xia Wang
Keyword(s):  
Automorphism Groups ◽  
Edge Transitive ◽  
Transitive Graphs ◽  
Free Order

We study the class of  edge-transitive graphs of square-free order and valency at most $k$. It is shown that, except for a few special families of graphs, only finitely many members in this class are basic (namely, not a normal multicover of another member). Using this result, we determine the automorphism groups of locally primitive arc-transitive graphs with square-free order.

scholarly journals Edge-transitive lexicographic and Cartesian products

2016 ◽  
Vol 36 (4) ◽  
pp. 857 ◽  
Author(s):  
Wilfried Imrich ◽  
Ali Iranmanesh ◽  
Sandi Klavžar ◽  
Abolghasem Soltani
Keyword(s):  
Cartesian Products ◽  
Edge Transitive
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