The female and egg of the new Papuan leaf insect Phyllium (Phyllium) riedeli n. sp. are described and illustrated. The species belongs in the siccifolium species-group of the subgenus Phyllium and, with a body length of 56.3 mm, represents the smallest leaf insect so far described for the genus. The type-specimens are stored in the State Museum of Natural History Karlsruhe, Germany (SMNK). A ch...

The strong symmetric genus of a finite group G is the smallest genus of a closed orientable topological surface on which G acts faithfully as a group of orientation preserving automorphisms. In this paper we complete the calculation of the strong symmetric genus for each finite Coxeter group excluding the group E8.

This paper introduces a version of the argmax continuous mapping theorem that applies to M-estimation problems in which the objective functions converge to a limiting process with multiple maximizers. The concept of the smallest maximizer of a function in the d-dimensional Skorohod space is introduced and its main properties are studied. The resulting continuous mapping theorem is applied to th...

A vertex w in a connected graph G strongly resolves two distinct vertices u and v V (G) if is any shortest u-w path or v-w path. set W of strong resolving every are resolved by some W. S subset hop dominating for ∈ \ there exists such that dG(u, v) = 2. The smallest cardinality called the domination number G. This paper presents characterization sets join, corona lexicographic product graphs. F...

Let C be a polygonal cycle on n vertices in the plane. A randomized algorithm is presented which computes in O(n log n) expected time, the edge of C whose removal results in a polygonal path of smallest possible dilation. It is also shown that the edge whose removal gives a polygonal path of largest possible dilation can be computed in O(n log n) time. If C is a convex polygon, the running time...