## Abstract Given natural numbers __n__⩾3 and 1⩽__a__, __r__⩽__n__−1, the __rose window graph R__~__n__~(__a, r__) is a quartic graph with vertex set \documentclass{article}\usepackage{amssymb}\usepackage{amsbsy}\usepackage[mathscr]{euscript}\footskip=0pc\pagestyle{empty}\begin{document}$\{{{x}}\_{
Edge-transitive planar graphs
✍ Scribed by Branko Grünbaum; G. C. Shephard
- Publisher
- John Wiley and Sons
- Year
- 1987
- Tongue
- English
- Weight
- 590 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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
## Abstract The object of this paper is to show that 4‐connected planar graphs are uniquely determined from their collection of edge‐deleted subgraphs.
## Abstract In this paper, we first consider graphs allowing symmetry groups which act transitively on edges but not on darts (directed edges). We see that there are two ways in which this can happen and we introduce the terms __bi‐transitive__ and __semi‐transitive__ to describe them. We examine t
We examine edge transitivity of directed graphs. The class of local comparability graphs is defined as the underlying graphs of locally edge transitive digraphs. The latter generalize edge transitive orientations, while local comparability graphs include comparability, anticomparability, and circle