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High-girth arc-transitive graphs

Web1 de ago. de 2010 · A near-polygonal graph is a graph @C which has a set C of m-cycles for some positive integer m such that each 2-path of @C is contained in exactly one cycle in C. If m is the girth of @C then the graph is called polygonal. Web16 de dez. de 2010 · A further outcome of our analysis is a precise identification of which of these graphs are Cayley. We also investigate higher level of transitivity of the smallest known vertex-transitive graphs of a given degree and girth 6 and relate their constructions to near-difference sets. © 2010 Wiley Periodicals, Inc. J Graph Theory 68:265-284, 2011

Cubic vertex-transitive graphs of girth six Request PDF

Webtransitive graphs that are s-arc transitive but not (s+1)-arc transitive. More-over, there exist geodesic transitive graphs that are s-arc transitive but not (s+1)-arc transitive with arbitrarily large diameter if and only if s ∈ {1,2,3}. Theorem 1.1 is proved in Section 3 by analysing some well-known families ofdistance transitive graphs ... Webacts 2-arc-transitively on the quotient graph X. By Proposition 1.1, the class of finite connected 2-arc-transitive graphs can be divided into two subclasses as follows: (1) The 2-arc-transitive graphs Xwith the property that either (i) every nontrivial normal subgroup of Aut Xacts transitively on V(X),or (ii) every nontrivial normal subgroup the pendejo https://p-csolutions.com

A characterisation on arc-transitive graphs of prime valency

Web9 de abr. de 2024 · When the underlying graphs exhibit a significant girth and expanding factor, ... Then they are called edge-transitive Cayley graphs such that Lemma 4 of is satisfied ... Chou, P.-C., & Ueng, Y.-L. (2024). An effective low-complexity error-floor lowering technique for high-rate QC-LDPC codes. IEEE Communications Letters, 22(10 ... Web1 de mai. de 1989 · Highly Arc Transitive Digraphs. Finite digrahs Г with a group G of automorphisms acting transitively on the set of s -arcs, for some s ⩾ 2, are investigated. For each valency v and each s ⩾ 2 an infinite family of finite digraphs of valency v which are s -arc transitive but not ( s + 1)-arc transitive are constructed. WebA. A. Ivanov [4] found a relationship between 2-arc-transitive graphs of girth 5 and flag-transitive geometries with the diagram P L O 0 0 In particular, such a geometry can … the pend cafe stirling

Notes: A construction of an infinite family of 2-arc transitive ...

Category:Highly Arc Transitive Digraphs - ScienceDirect

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High-girth arc-transitive graphs

arXiv:1908.09361v4 [math.CO] 7 Nov 2024

Web28 de out. de 2009 · An arc-transitive graph Γ is said to be (X, s)-regular if it is (X, s)-arc-transitive and, for any two s-arcs of Γ, there is a unique automorphism of Γ mapping one … Webthe corresponding Tanner graphs have girth greater than four. We analyse properties of the obtained codes and present bounds for the code parameters, ... Keywords: LDPC code, cubic graph, arc-transitive graph, bipartite graph MSC 2024 Codes: 94B05, 05C99 1 arXiv:2002.06690v1 [math.CO] 16 Feb 2024. 1 Introduction and preliminaries

High-girth arc-transitive graphs

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WebARC–TRANSITIVE NON–CAYLEY GRAPHS FROM REGULAR MAPS P. GVOZDJAK and J. ˇSIR A´Nˇ Abstract. We prove that the underlying graphs of p-gonal r-valent orientably regular maps are arc-transitive but non-Cayley if r≥3 and pis a prime greater than r(r−1). 1. Introduction Orientable maps, i.e., embeddings of graphs in orientable surfaces ... Web1 de mar. de 2024 · The main result of this paper states that with the exception of a single graph, the famous Desargues graph on 20 vertices (that can also be defined as the …

Web16 de dez. de 2010 · A further outcome of our analysis is a precise identification of which of these graphs are Cayley. We also investigate higher level of transitivity of the smallest … WebThis particular graph has 58 vertices - the 32 known trivalent graphs with 60 vertices are also catalogued and in some cases constructed. We prove the existence of vertex …

Web1 de mar. de 2024 · It is proved that every such graph, with the exception of the Desargues graph on 20 vertices, is either a skeleton of a hexagonal tiling of the torus, the skeleton … Web1 de ago. de 2010 · We provide a construction of an infinite family of polygonal graphs of arbitrary odd girth with 2-arc transitive automorphism groups. References [1] …

WebAn arc in a graph is an ordered pair of adjacent vertices, and so a graph is arc-transitive if its automorphism group acts transitively on the set of arcs. As we have seen, this is a stronger property than being either vertex transitive or edge transitive, and so we can say even more about arc-transitive graphs.

Webarc-transitive graphs with vertex stabilizer D8 and order 10752, with 10752 being the smallest order of connected tetravalent half-arc-transitive graphs with vertex stabilizer … siamfishing รีวิวWeb15 de mar. de 2011 · However, beside a well-known family of exceptional graphs, related to the lexicographic product of a cycle with an edgeless graph on two vertices, only a few such infinite families of graphs are known. In this paper, we present two more families of tetravalent arc-transitive graphs with large vertex-stabilizers, each significant for its … the pendas law firm tampaWebThe Cayley graph F is denoted by Cay(G, S). Cayley graphs stem from a type of diagram now called a Cayley color diagram, introduced by Cayley in 1878. In this paper, we … the pendas law firm flWeb28 de out. de 2009 · This paper gives a characterization of connected cubic s-transitive Cayley graphs.It is shown that, for s ≥ 3, every connected cubic s-transitive Cayley graph is a normal cover of one of 13 graphs: three 3-transitive graphs, four 4-transitive graphs and six 5-transitive graphs.Moreover, the argument in this paper also gives another … siam filter productsWebIf a graph Γ is (G,s)-arc transitive and s ≤ diam(Γ), then s-geodesics and s-arcs are same, and Γ is (G,s)-geodesic transitive. However, Γ can be (G,s)-geodesic transitive but not … siamfishing.comWebClearly λ k ≤ d k − e k, where d is the degree of Γ and e k is the maximal number of edges induced on a set of k vertices. We shall show that Cayley graphs with a prime order and … the pendelum glorian taoWebA new approach to catalog small graphs of high even girth Vivek S. Nittoor [email protected] Independent Consultant & Researcher (formerly with the University of Tokyo) Abstract A catalog of a class of (3;g) graphs for even girth gis introduced in this pa-per. A (k;g) graph is a regular graph with degree kand girth g. This catalog of the pendas law firm fax