scholarly journals Automorphisms of graphs

2010 ◽  
pp. 137-155 ◽  
Author(s):  
Peter J. Cameron
Keyword(s):  
Automorphisms Of Graphs

Groups and Monoids of Regular Graphs (And of Graphs with Bounded Degrees)

1973 ◽  
Vol 25 (2) ◽  
pp. 239-251 ◽  
Author(s):  
Pavol Hell ◽  
Jaroslav Nešetřil
Keyword(s):  
Category Theory ◽  
Main Question ◽  
Regular Graphs ◽  
Group Of Automorphisms ◽  
Automorphisms Of Graphs ◽  
Usual Manner ◽  
The Subject ◽  
Groups Of Automorphisms

A graph X is a set V(X) (the vertices of X) with a system E(X) of 2-element subsets of V(X) (the edges of X). Let X, Y be graphs and f : V(X) → V(Y) a mapping; then/ is called a homomorphism of X into F if [f(x),f(y)] ∈ E(Y) whenever [x,y] ∈ E(X). Endomorphisms, isomorphisms and automorphisms are defined in the usual manner.Much work has been done on the subject of representing groups as groups of automorphisms of graphs (i.e., given a group G, to find a graph X such that the group of automorphisms of X is isomorphic to G). Recently, this was related to category theory, the main question being as to whether every monoid (i.e., semigroup with 1) can be represented as the monoid of endomorphisms of some graph in a given category of graphs.

Automorphisms of graphs

1994 ◽  
Vol 72 (5) ◽  
pp. 3341-3343 ◽  
Author(s):  
T. A. Agafonova ◽  
V. F. Gor'kovoi
Keyword(s):  
Automorphisms Of Graphs

scholarly journals Metric ends, fibers and automorphisms of graphs

2008 ◽  
Vol 281 (1) ◽  
pp. 62-74 ◽  
Author(s):  
Bernhard Krön ◽  
Rögnvaldur G. Möller
Keyword(s):  
Automorphisms Of Graphs

scholarly journals Chromatic automorphisms of graphs

1973 ◽  
Vol 14 (3) ◽  
pp. 209-215 ◽  
Author(s):  
V Chvátal ◽  
J Sichler
Keyword(s):  
Automorphisms Of Graphs

scholarly journals Automorphisms of graphs of cyclic splittings of free groups

2015 ◽  
Vol 178 (1) ◽  
pp. 171-187 ◽  
Author(s):  
Camille Horbez ◽  
Richard D. Wade
Keyword(s):  
Free Groups ◽  
Automorphisms Of Graphs

On automorphisms of graphs and Riemann surfaces acting with fixed points

2019 ◽  
Vol 9 (4) ◽  
pp. 2021-2031
Author(s):  
G. Gromadzki ◽  
A. D. Mednykh ◽  
I. A. Mednykh
Keyword(s):  
Fixed Points ◽  
Riemann Surfaces ◽  
Automorphisms Of Graphs
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