Edge transitive token graphs
WebMay 9, 2006 · Our theory is built on analysing several special classes of Cayley graphs (de-fined in Subsection1.1), and analysing some operations on general Cayley graphs (discussed in Subsection1.2). 1.1. Basic edge-transitive Cayley graphs. For two groups X and Y,denote by X Y a semidirect product of X by Y,andbyX Y the central product of X … Webtransitive, edge-transitive, or arc-transitive, if it is Aut X-vertex-transitive, AutX-edge-transitive, or Aut X-arc-transitive, respectively. We call a graph ^-transitive, if it is vertex-transitive, edge-transitive, but not arc-transitive. The first examples of ^-transitive graphs were found by I. Z. Bouwer [5] in 1970.
Edge transitive token graphs
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WebMay 22, 2015 · A regular graph is not even edge transitive, as a rule, starting with disconnected 2-regular graphs. Even if you consider connected ones, in 3-regular graphs you can replace an edge with a - ( )- and get a new 3 regular graph. I think doing it repeatedly in random places would yield fairly non-symmetric things.
WebStructural properties of Toeplitz graphs Seyed Ahmad Mojallal, Ji-Hwan Jung, Gi-Sang Cheon, Suh-Ryung Kim, Bumtle Kang Article 113016 Download PDF Article preview Research articleFull text access Edge-transitive token graphs Ju Zhang, Jin-Xin Zhou Article 113043 Download PDF Article preview Research articleFull text access WebFeb 7, 2013 · $\begingroup$ I'm still having a bit of trouble understanding, I hope my thought process is right. I can see how an edge in the same orbit would cause the other edges to not be transitive (Unless all the vertices in the orbit are connected with each other in which case we will eventually get the complete graph) so this makes sense.
WebMar 22, 2007 · An edge-transitive graph is a graph such that any two edges are equivalent under some element of its automorphism group. More precisely, a graph is edge-transitive if for all pairs of edges there … WebSep 14, 2024 · Abstract: A graph is said to be edge-transitive if its automorphism group acts transitively on its edges. It is known that edge-transitive graphs are either vertex …
WebFeb 9, 2024 · By the given condition that all edge-deleted subgraphs are isomorphic, we can describe $G-e$ where $e\in E (G)$ . Denote $e=vw$ with $v\in A$ and $w\in B$ . There …
WebMay 22, 2015 · A regular graph is not even edge transitive, as a rule, starting with disconnected 2-regular graphs. Even if you consider connected ones, in 3-regular graphs you can replace an edge with a -( )- and get a new 3 regular graph. I think doing it repeatedly in random places would yield fairly non-symmetric things. jeffrey a rothermel us armyWebSymmetric graph. The Petersen graph is a ( cubic) symmetric graph. Any pair of adjacent vertices can be mapped to another by an automorphism, since any five-vertex ring can be mapped to any other. In the mathematical field of graph theory, a graph G is symmetric (or arc-transitive) if, given any two pairs of adjacent vertices u1—v1 and u2 ... jeffrey a rabin \\u0026 associatesWebSep 14, 2024 · A graph is said to be edge-transitive if its automorphism group acts transitively on its edges. It is known that edge-transitive graphs are either vertex … oxygen fugacity calculationIn the mathematical field of graph theory, an edge-transitive graph is a graph G such that, given any two edges e1 and e2 of G, there is an automorphism of G that maps e1 to e2. In other words, a graph is edge-transitive if its automorphism group acts transitively on its edges. oxygen funding victoriaWebOct 1, 2014 · Edge-transitive token graphs. Article. Nov 2024; DISCRETE MATH; Ju Zhang; Jin-Xin Zhou; Let G be a graph with n vertices. For 1 oxygen fugacity definedWebCayley graphs are always vertex transitive and quite often, for a suitable choise of generators, also edge transitive. Some of these examples are based on a famous paper of Sunada. Sunada's method was originally for creating isospectral manifolds but it can be applied (and is even easier) to create isospectral graphs. oxygen function in human bodyWebNov 15, 2024 · Namespace: microsoft.graph. Get groups that the group is a member of. This operation is transitive and will also include all groups that this groups is a nested member of. Unlike getting a user's Microsoft 365 groups, this returns all types of groups, not just Microsoft 365 groups. jeffrey a rabin \u0026 associates