Isotoxal figure

Known as: Edge-transitivity, Isotoxal polygon, Edge-transitive

In geometry, a polytope (for example, a polygon or a polyhedron), or a tiling, is isotoxal or edge-transitive if its symmetries act transitively on…

Papers overview

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2015

We study the class of edge-transitive graphs of square-free order and valency at most $k$. It is shown that, except for a few…

2015

2014

We present some new discoveries about graphs that are half-arc-transitive (that is, vertex- and edge-transitive but not arc…

2011

Graver and Watkins classified edge-transitive maps on closed surfaces into fourteen types. In this note we study these types for…

2010

The symmetry properties of mathematical structures are often important for understanding these structures. Graphs sometimes have…

2010

Given natural numbers n⩾3 and 1⩽a, r⩽n−1, the rose window graph Rn(a, r) is a quartic graph with vertex set \documentclass…

2006

We compare the diameter of a graph with the directed diameter of its Eulerian orientations. We obtain positive results under…

2001

Abstract. We consider the problem of routing in networks employing all-optical routing technology. In such networks, information…

1998

Highly Cited

1993

Highly Cited

1993

Abstract Let k and p be odd primes with k p . All vertex-primitive graphs of order kp are classified, and those which are…