freshwater lens on small islands may easily be overexploited or polluted due to overdrafts of fresh water by pumping which causes drawdown of the water table a rise or up-coning of the saltwater interface. present study is concerned with using a three-dimensional finite-difference numerical model to simulate the groundwater flow and transport model to predict the behavior of groundwater system ...

A classical result in graph theory asserts that every graph can be oriented so that the indegree and outdegree of each vertex differ by at most 1. We study the extent to which the result generalizes to uniform hypergraphs.

Random graph models have played a dominant role in the theoretical study of networked systems. The Poisson random graph of Erdős and Rényi, in particular, as well as the so-called configuration model, have served as the starting point for numerous calculations. In this paper we describe another large class of random graph models, which we call equitable random graphs and which are flexible enou...

We consider the problem of dividing a territory into sub-regions so as to balance the workloads of a collection of facilities or vehicles over that territory. We assume that the territory is a connected polygonal region, i.e. a simply connected polygon containing a set of simply connected obstacles. The territory also contains a collection of facilities, represented by a set of n fixed points i...

Article history: Received 20 July 2007 Accepted 4 June 2008 Available online 13 June 2008

One of the major issues in the proposed concepts-of-operations for NEXTGEN is the equitable allocation of available National Airspace System (NAS) resources when demand is in excess of the capacity of the resource. NAS resources include airport and airspace slots allocated to flights from different airlines, carrying passengers and cargo from different geographic areas, affecting local air and ...

Let G = (V,E) be a connected graph, An equitable dominating S of a graph G is called the neighborhood connected equitable dominating set (nced-set) if the induced subgraph 〈Ne(S)〉 is connected The minimum cardinality of a nced-set of G is called the neighborhood connected equitable domination number of G and is denoted by γnce(G). In this paper we initiate a study of this parameter. For any gra...

– The standard multiple criteria optimization starts with an assumption that the criteria are incomparable. However, there are many applications in which the criteria express ideas of allocation of resources meant to achieve some equitable distribution. This paper focuses on solving linear multiple criteria optimization problems with uniform criteria treated in an equitable way. An axiomatic de...

A tree is a vertex-edge graph that is connected and contains no cycles. A 4−equitable labeling of a graph is an assignment of labels {0, 1, 2, 3} to the vertices. The edge labels are the absolute difference of the labels of the vertices that they are incident to. The labels must be distributed as evenly as possible amongst the vertices and they must also be distributed as evenly as possible amo...