On 4-Valent Symmetric Graphs
نویسندگان
چکیده
منابع مشابه
On 4-valent Frobenius circulant graphs
A 4-valent first-kind Frobenius circulant graph is a connected Cayley graph DLn(1, h) = Cay(Zn, H) on the additive group of integers modulo n, where each prime factor of n is congruent to 1 modulo 4 and H = {[1], [h],−[1], −[h]} with h a solution to the congruence equation x + 1 ≡ 0 (mod n). In [A. Thomson and S. Zhou, Frobenius circulant graphs of valency four, J. Austral. Math. Soc. 85 (2008)...
متن کامل5-valent Symmetric Graphs of Order at Most 100
1 "UI,J;:"~.VU.jJ of the automorphism group is said to be symmetric on r, a,U.llo,vuuv vertices of f; f is said (that is those groups act are vertex transitive and hence are The motivation for this paper came from Lorimer [1] about determining all minimal trivalent of order at most 120. Similar work for 5-valent the order of a cornpl.ete list of most 100. In stabilizer has upper bound that is 4...
متن کاملGoldberg-Coxeter Construction for 3- and 4-valent Plane Graphs
We consider the Goldberg-Coxeter construction GCk,l(G0) (a generalization of a simplicial subdivision of the dodecahedron considered in [Gold37] and [Cox71]), which produces a plane graph from any 3or 4-valent plane graph for integer parameters k, l. A zigzag in a plane graph is a circuit of edges, such that any two, but no three, consecutive edges belong to the same face; a central circuit in ...
متن کاملCayley Graphs and Symmetric 4-Polytopes
Previously we have investigated the medial layer graph G for a finite, self-dual, regular or chiral abstract 4-polytope P . Here we study the Cayley graph C on a natural group generated by polarities of P , show that C covers G in a readily computable way and construct C as a voltage graph over G. We then examine such symmetric graphs for several interesting families of polytopes of type {p, q,...
متن کاملClassifying pentavalnet symmetric graphs of order $24p$
A graph is said to be symmetric if its automorphism group is transitive on its arcs. A complete classification is given of pentavalent symmetric graphs of order 24p for each prime p. It is shown that a connected pentavalent symmetric graph of order 24p exists if and only if p=2, 3, 5, 11 or 17, and up to isomorphism, there are only eleven such graphs.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: European Journal of Combinatorics
سال: 1994
ISSN: 0195-6698
DOI: 10.1006/eujc.1994.1041