J1-6720 — Annual report 2014
1.
Scientific monograph: Spectral radius of graphs

Dragan Stevanović published a scientific monograph Spectral Radius of Graphs (publisher Elsevier) dedicated to developments, proofs, and open problems for spectral graph theory.

COBISS.SI-ID: 1536992708
2.
A classification of pentavalent arc-transitive bicirculants

A bicirculant is a graph admitting an automorphism with two cycles of equal length in its cycle decomposition. A graph is said to be arc-transitive if its automorphism group acts transitively on the set of its arcs. This paper gives a complete classification of connected pentavalent arc-transitive bicirculants.

COBISS.SI-ID: 1536726980
3.
On the order of arc-stabilisers in arc-transitive graphs with prescribed local group

Let X be a connected G-arc-transitive graph, let uv be an arc of X and let L be the permutation group induced by the action of the vertex-stabiliser G_v on the neighbourhood X(v). We study the problem of bounding |G_{uv}| in terms of L and the order of X.

COBISS.SI-ID: 16981849