[HTML][HTML] The automorphisms of bi-Cayley graphs

JX Zhou, YQ Feng - Journal of Combinatorial Theory, Series B, 2016 - Elsevier
A bi-Cayley graph Γ is a graph which admits a semiregular group H of automorphisms with
two orbits. In this paper, the normalizer of H in the full automorphism group of Γ is …

Cubic symmetric graphs of order a small number times a prime or a prime square

YQ Feng, JH Kwak - Journal of Combinatorial Theory, Series B, 2007 - Elsevier
A graph is s-regular if its automorphism group acts regularly on the set of its s-arcs. In this
paper, the s-regular elementary abelian coverings of the complete bipartite graph K3, 3 and …

Toroidal graphenes from 4-valent tori

MV Diudea - Bulletin of the Chemical Society of Japan, 2002 - academic.oup.com
Square tori are transformed into hexagonal and other tiling tori by several cutting
procedures. The toroidal objects thus generated are optimized by a molecular mechanics …

[HTML][HTML] Grand canonical Monte Carlo simulations of the hydrogen storage capacities of slit-shaped pores, nanotubes and torusenes

D Caviedes, I Cabria - International Journal of Hydrogen Energy, 2022 - Elsevier
Abstract Grand Canonical Monte Carlo, GCMC, simulations are used to study the gravimetric
and volumetric hydrogen storage capacities of different carbon nanopores shapes: Slit …

[HTML][HTML] Classifying cubic symmetric graphs of order 8p or 8p2

YQ Feng, JH Kwak, K Wang - European Journal of Combinatorics, 2005 - Elsevier
A graph is s-regular if its automorphism group acts regularly on the set of its s-arcs. In this
paper, we classify the s-regular elementary Abelian coverings of the three-dimensional …

[HTML][HTML] Edge-transitive bi-Cayley graphs

M Conder, JX Zhou, YQ Feng, MM Zhang - Journal of Combinatorial Theory …, 2020 - Elsevier
A graph Γ admitting a group H of automorphisms acting semi-regularly on the vertices with
exactly two orbits is called a bi-Cayley graph over H. This generalisation of a Cayley graph …

[HTML][HTML] Distance-balanced graphs: symmetry conditions

K Kutnar, A Malnič, D Marušič, Š Miklavič - Discrete mathematics, 2006 - Elsevier
A graph X is said to be distance-balanced if for any edge uv of X, the number of vertices
closer to u than to v is equal to the number of vertices closer to v than to u. A graph X is said …

[HTML][HTML] Cubic edge-transitive graphs of order 2p3

A Malnič, D Marušič, C Wang - Discrete Mathematics, 2004 - Elsevier
Let p be a prime. It was shown by Folkman (J. Combin. Theory 3 (1967) 215) that a regular
edge-transitive graph of order 2p or 2p2 is necessarily vertex-transitive. In this paper an …

Cubic symmetric graphs of order twice an odd prime-power

YQ Feng, JH Kwak - Journal of the Australian Mathematical Society, 2006 - cambridge.org
An automorphism group of a graph is said to be s-regular if it acts regularly on the set of s-
arcs in the graph. A graph is s-regular if its full automorphism group is s-regular. For a …

Leapfrog and related operations on toroidal fullerenes

MV Diudea, PE John, A Graovac, M Primorac… - Croatica chemica …, 2003 - hrcak.srce.hr
Sažetak A 4-valent square tiled toroid is transformed into 3-valent hexagonal (and other
polygonal) lattices either by simple cutting procedures or by some more elaborated …