A dominating set D ⊆ V (G) of a graph G is a set such that each vertex v ∈ V (G) is either in the set or adjacent to a vertex in the set. Matheson and Tarjan (1996) proved that any n-vertex plane triangulation has a dominating set of size at most n/3, and conjectured a bound of n/4 for n sufficiently large. King and Pelsmajer recently proved this for graphs with maximum degree at most 6. Plumme...

Although the cattail mosquito, Coquillettidia perturbans (Walker) is found in North America (north of Mexico) throughout most of the United States and southern Canada, its distribution in the Rocky Mountain States is not well known and only a few collection records have been reported (Darsie and Ward 2005) (Figure 1 [inset]). Since its discovery in Idaho in Latah County (Stage et al. 1952), all...

A coloring of a graph G is an assignment of colors to the vertices of G in such a way that every pair of adjacent vertices receive different colors. If G admits a coloring using r colors, G is said to be r-colorable, Graph coloring has a number of applications. In many of them, we encounter a situation in which several vertices of G are already colored. We are required to find a coloring which ...

Nitrate is Wisconsin’s most common groundwater pollutant. Agriculture is the largest nitrate source, accounting for about 90% of that which leaches to groundwater (Shaw, 1994). Only recently have the university and state agencies put together sufficient pieces of the nitrate puzzle to realize the extent of nitrate pollution (e.g., Central Wisconsin Groundwater Center, 1994; LeMasters and Baldoc...

An acyclic colouring of a graph G is a proper vertex-colouring of G such that every union of two colour classes induces an acyclic subgraph of G, and χ a ̄ χ a (G) denotes the smallest number of colours in an acyclic colouring of G. Clearly χ a (C ) ̄ 3 if C is a cycle and χ a (F )% 2 if F is a forest, with equality unless F is edgeless. For a planar graph G, Gru$ nbaum [5] conjectured that χ a (...

Table of contents 1. Presentations Maggie Swan : Creative Women on the WWW: Visual Analysis of Representation, Symbolism and Ideology Elijah Wright -Credibility in Weblog War Coverage Anis Pervez -Film, Cognition and Information Yueyu Fu -Protein Association Discovery in Biomedical Literature Ketan Mane -Content Coverage of PNAS in 1982-2001 Aaron Loehrlein -Systems for the Representation of Bi...

in this paper, an attempt has been made to introduce a new control strategy including plug-in hybrid electric vehicle (phev) and diesel engine generator to control the voltage and frequency of autonomous microgrids. the proposed control strategy has multiple advantages over the recent control methods in microgrids. the proposed method applies the primary and secondary frequency control strategy...

the continuous improvement of eaf performance is crucial for the increase in productivity and cost effectiveness and to render an environmental friendly process. rhi supports these targets by providing a diverse range of refractory and process solutions. chemical energy in practical operation by injection of gaseous media like oxygen and natural gas, and solid materials like carbon have become ...

A coloring of the vertices of a graph G is said to be distinguishing provided that no nontrivial automorphism of G preserves all of the vertex colors. The distinguishing number of G, denoted D(G), is the minimum number of colors in a distinguishing coloring of G. The distinguishing number, first introduced by Albertson and Collins in 1996, has been widely studied and a number of interesting res...

Intra Uterine Growth Retardation (IUGR) refers to insufficient fetal growth diagnosed either by two direct intrauterine growth assessment (ultra-sonography) or when the fetus or newborn length (height) is less than two standard deviations (or third percentile) below the mean for gestational age (NIKLASSON et. al. 1991; DE ZEGLER 1997). When the fetus or newborn body size (wight or length) is in...