On the automorphism group of a johnson graph
Web1 de nov. de 2024 · An asymmetric coloring of a graph is a coloring of its vertices that is not preserved by any non-identity automorphism of the graph. The motion of a graph is the … WebKey-words: designs, codes in graphs, Johnson graph, 2-transitive permuta-tion group, neighbour-transitive, Delandtsheer design, ag-transitive, anti ag-transitive. Mathematics Subject Classi cation (2010): 05C25, 20B25, 94B60. 1 Introduction The Johnson graphs are ubiquitous in mathematics, perhaps because of their many useful properties.
On the automorphism group of a johnson graph
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Web1 de nov. de 2024 · An asymmetric coloring of a graph is a coloring of its vertices that is not preserved by any non-identity automorphism of the graph. The motion of a graph is the minimal degree of its automorphism group, i.e., the minimum number of elements that are moved (not fixed) by any non-identity automorphism. We confirm Tom Tucker's “Infinite … 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 …
Web1 de jan. de 2011 · The symmetric group Sym (V) acts as automorphisms on J (v, k), and if k = v/2 then Sym (V) is the full automorphism group, while if k = v/2 then the … WebTopics 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.
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 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 ≤ m ≤ n/2. We find the automorphism groups of these graphs, and deduce that their only regular embedding in an orientable surface is the octahedral map on the sphere for J(4, 2) 1, …
Web27 de fev. de 2024 · The inner automorphism group of Q 8 is given by the group modulo its center, i.e. the factor group Q 8 /{e, e}, which is isomorphic to the Klein four-group V. The full automorphism group of Q 8 is isomorphic to S 4 , the symmetric group on four letters (see Matrix representations below), and the outer automorphism group of Q 8 is …
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 ... packaged gravy mix recipesWeb1 de jan. de 2024 · This graph has been studied by various authors and some of the recent papers are [1,4,6,8,9,14]. In this paper we determine the automorphism group Aut(J(n, … packaged fruit juice industryWebA continuous-time quantum walk on a graph G is given by the unitary matrix U ( t ) = exp ( − i t A ) , where A is the adjacency matrix of G . We say G has pretty good state transfer between vertices a and b if for any ϵ > 0 , there is a time t , where the ( a , b ) -entry of U ( t ) satisfies U ( t ) a , b ≥ 1 − ϵ . This notion was introduced by Godsil (2011). jerry seinfeld central park west