On the automorphism group of a johnson graph

WebAbstract Let G be a graph with n vertices. For 1 < k < n, the k-token graph of G is the graph with vertices the k-subsets of the vertex set of G such that two k-subsets are adjacent whenever their ... There is a distance-transitive subgroup of isomorphic to . In fact, , except that when , .

Edge-transitive token graphs Discrete Mathematics

WebAmongst the many classes of uniform subset graphs it has only been determined that Aut ( Γ ( 2 k + 1, k, 0)), the automorphism group of the so called Odd graphs, is S n, and more recently, Ramras and Donovan [ 2] proved that Aut ( … Webthe automorphism group of the middle level subgraph of an odd-dimensional hypercube. Department of Mathematics, Northeastern University, Boston, MA 02115 1 earthaven ecovillage reviews https://pabartend.com

Computing the edge orbits of a graph (and discussing …

Web1 de abr. de 2005 · The merged Johnson graph J (n, m)I is the union of the distance i graphs J (n, m)i of the Johnson graph J (n, m) for i ∈ I, where Ø ≠ I ⊆ {1,..., m } and 2 ≤ … WebAn automorphism of a graph is a graph isomorphism with itself, i.e., a mapping from the vertices of the given graph G back to vertices of G such that the resulting graph is isomorphic with G. The set of automorphisms … Web20 de out. de 2024 · For a simple graph G = ( V, E) we let Γ V ( G) define the group of automorpisms over the set of vertices V that preserve G 's edge structure. Similarly, we define Γ E ( G) to be the group of … earthaven museum

On the automorphism groups of connected bipartite irreducible graphs

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On the automorphism group of a johnson graph

On the spectral gap and the automorphism group of distance …

Web1 de jul. de 2024 · Abstract. We prove that a distance-regular graph with a dominant distance is a spectral expander. The key ingredient of the proof is a new inequality on the … WebWhile it is easy to characterize the graphs on which a given transitive permutation groupG acts, it is very difficult to characterize the graphsX with Aut (X)=G. We prove here that for the certain transitive permutation groups a simple necessary condition is also sufficient. As a corollary we find that, whenG is ap-group with no homomorphism ontoZ p wrZ p , almost …

On the automorphism group of a johnson graph

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Web4 de jan. de 2016 · It isn't the Johnson graphs themselves that were a scourge to theorists. It's more that the Johnson graphs showed that certain difficult structural properties (mentioned above) are possible and nobody knew a general method for handling these properties. Once Babai showed that only the Johnson graphs caused that structure, the … Web1 de jan. de 1973 · We are now able to list the automorphism groups for several common families of graphs. 20 The Automorphism Group of a Graph Chapt. 3 3-4. Thm. 3-18. Graphs with a Given Automorphism Group Every finite group is the automorphism group of some graph. For a proof of this theorem, due to Frucht [ F 4 ] , see Section 4-2. …

Webadjacent, whereas c(v,w) = a0,whenv,ware not adjacent, then G is a stablegraph, that is, the automorphism group of the bipartite double cover of G is isomorphic with the group Aut(G)×Z2. Finally, we show that the Johnson graph J(n,k)is a stable graph. Keywords. Automorphism group; bipartite double cover of a graph; Grassmann graph; stable ... Web4 de ago. de 2024 · Let G be a graph on n vertices. Here is a way to find aut ( G), here we assume G is not labeled (as in the picture you provide). Begin by labeling the vertices of G with elements from { 1, 2, 3, …, n }, let us call this labeling L. Among all possible labelings of G find those that result in the same graph as the one the one labeled at 1.

Web10 de abr. de 2024 · Keywords: subdivision graph, line graph, connectivity, automorphism group, Hamil-tonian graph. AMS Sub ject classification: 05C25, 05C38,05C75. Constructing new families of graphs from families ... Web1 de abr. de 2005 · The merged Johnson graph J (n,m)I is the union of the distance i graphs J (n,m)i of the Johnson graph J (n,m) for i∈I, where ∅≠I⊆ {1,…,m} and 2≤m≤n/2. We find the automorphism groups ...

WebUsing an analysis of the clique structure and only the most elementary group theory, we determine the automorphism group of the Johnson graph $J(n,i)$, for $n\neq2i$. …

WebUsing an analysis of the clique structure and only the most elementary group theory, we determine the automorphism group of the Johnson graph J ( n, i), for n ≠ 2 i. Although … earthaven ecovillage black mountain ncWebAbstract. Using an analysis of the clique structure and only the most elementary group theory, we determine the automorphism group of the Johnson graph J ( n, i), for n ≠ 2 i. … earthaven ecovillage ncWebFormally, an automorphism of a graph G = (V, E) is a permutation σ of the vertex set V, such that the pair of vertices (u, v) form an edge if and only if the pair (σ(u), σ(v)) also … earth avatar seriesWebTopics in Graph Automorphisms and Reconstruction. Search within full text. Get access. Cited by 21. 2nd edition. Josef Lauri, University of Malta, Raffaele Scapellato, Politecnico di Milano. Publisher: Cambridge University Press. Online publication date: June 2016. Print publication year: 2016. ct diversionWeb1 de dez. de 2014 · The automorphism group of the Johnson graph $J(n,i)$ is $S_n \times T \rangle$ where $T$ is the complementation map $A \mapsto \{1,\ldots,n\} \setminus A$. … ct diversified monthly incomeWebThe automorphism group of G is equal to the automorphism group of the complement G. WHY? Note that automorphisms preserve not only adjacency, but non-adjacency as well. Hence, φ∈ Aut(G) if and only if φ∈ Aut(G). It follows that Aut(G) = Aut(G). Robert A.Beeler,Ph.D. (EastTennesseeStateUniversity)Graph Automorphism Groups … ct division of revenueWeb9 de dez. de 2014 · In Ramras and Donovan [\emph{SIAM J. Discrete Math}, 25(1): 267-270, 2011], it is conjectured that if $n=2i$, then the automorphism group of the Johnson … earthaven ecovillage