We consider the capability of p-groups of class two and odd prime exponent. We give a sufficient condition based only on the ranks of G/Z(G) and [G,G], that shows that if [G,G] is sufficiently large relative to G/Z(G), then G is capable.

A straight-line drawing of a plane graph G is a drawing of G where each vertex is drawn as a point and each edge is drawn as a straight-line segment without edge crossings. A proximity drawing Γ of a plane graph G is a straightline drawing of G with the additional geometric constraint that two vertices of G are adjacent if and only if no other vertex of G is drawn in Γ within a “proximity regio...

Let G be an edge-colored graph. A heterochromatic (rainbow, or multicolored) path of G is such a path in which no two edges have the same color. Let d(v) denote the color degree and CN(v) denote the color neighborhood of a vertex v of G. In a previous paper, we showed that if d(v) ≥ k (color degree condition) for every vertex v of G, then G has a heterochromatic path of length at least ⌈ 2 ⌉, a...

(Abstract) Given an undirected graph G, we consider enumerating all Eulerian trails, that is, walks containing each of the edges in G just once. We consider achieving it with the enumeration of Hamiltonian paths with the zero-suppressed decision diagram (ZDD), a data structure that can efficiently store a family of sets satisfying given conditions. First we compute the line graph L(G), the grap...

It is shown in this paper that if BG is the Stone-ech compactification of a group G, and G satisfying a certain condition, then there is a weakly recurrent point in BG which is not almost periodic, and if another condition will be added, then there is a recurrent point in 8G which is not almost periodic point.

—We assessed the effects of capture period, capture subregion, age, sex and habitat conditions on the body condition of migrating and wintering Northern Pintails (Anas acuta) in the Playa Lakes Region (PLR) of northwestern Texas. Body condition varied with sex, age, subregion and month during the wet 2002. During 2002, after-hatch-year (AHY) males had more carcass fat (g and percent) than did A...

We present a study of statistical relationships between the G condition, F1-layer and NmF2 negative disturbance occurrence probabilities and geomagnetic and solar activity indices Kp and F10.7, season, and geomagnetic latitude, using experimental data acquired by the Ionospheric Digital Database of the National Geophysical Data Center, Boulder, Colorado from 1957 to 1990. It is shown that the d...