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
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