𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Weakly Flag-transitive Configurations and Half-arc-transitive Graphs

✍ Scribed by Dragan Marušič; Tomaž Pisanski

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
204 KB
Volume
20
Category
Article
ISSN
0195-6698

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Stability of arc-transitive graphs
Stability of arc-transitive graphs
✍ David B. Surowski 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 169 KB

## Abstract The present paper investigates arc‐transtive graphs in terms of their stability, and shows, somewhat contrary to expectations, that the property of instability is not as rare as previously thought. Until quite recently, the only known example of a finite, arc‐transitive vertex‐determini

Maps and Half-transitive Graphs of Valen
Maps and Half-transitive Graphs of Valency 4
✍ D Marušič; R Nedela 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 167 KB

A subgroup G of automorphisms of a graph X is said to be 1 2 -transitive if it is vertex-and edge-but not arc-transitive. The graph X is said to be 1 2 -transitive if Aut X is 1 2 -transitive. The correspondence between regular maps and 1 2 -transitive group actions on graphs of valency 4 is studied

Tetravalent half-edge-transitive graphs
Tetravalent half-edge-transitive graphs and non-normal Cayley graphs
✍ Xiuyun Wang; Yan-Quan Feng 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 206 KB

Let X be a vertex-transitive graph, that is, the automorphism group Aut(X ) of X is transitive on the vertex set of X . The graph X is said to be symmetric if Aut(X ) is transitive on the arc set of X . Suppose that Aut(X ) has two orbits of the same length on the arc set of X . Then X is said to be

Finite symmetric graphs with two-arc tra
Finite symmetric graphs with two-arc transitive quotients II
✍ Zaiping Lu; Sanming Zhou 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 299 KB

## Abstract Let $\Gamma$ be a finite __G__‐symmetric graph whose vertex set admits a nontrivial __G__‐invariant partition $\cal B$. It was observed that the quotient graph $\Gamma\_{\cal B}$ of $\Gamma$ relative to $\cal B$ can be (__G__, __2__)‐arc transitive even if $\Gamma$ itself is not necessa

Locally 2-arc transitive graphs, homogen
Locally 2-arc transitive graphs, homogeneous factorizations, and partial linear spaces
✍ Michael Giudici; Cai Heng Li; Cheryl E. Praeger 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 134 KB

## Abstract We establish natural bijections between three different classes of combinatorial objects; namely certain families of locally 2‐arc transitive graphs, partial linear spaces, and homogeneous factorizations of arc‐transitive graphs. Moreover, the bijections intertwine the actions of the re