ABSTRACT Broadcasting is the process of disseminating a message from a node of a communication network to all other nodes as quickly as possible. In this paper we consider Manhattan Street Networks (MSNs) which are mesh-structured, toroidal, directed, regular networks such that locally they resemble the geographical topology of the avenues and streets of Manhattan. Previous work on these networ...

We study the main properties of a new product of bipartite digraphs which we call Manhattan product. This product allows us to understand the subjacent product in the Manhattan street networks and can be used to built other networks with similar good properties. It is shown that if all the factors of such a product are (directed) cycles, then the digraph obtained is a Manhattan street network, ...

For a set S of n points in the plane, a Manhattan network on S is a geometric network G(S) such that, for each pair of points in S, G(S) contains a rectilinear path between them of length equal to their distance in the L1-metric. The minimum Manhattan network problem is a problem of finding a Manhattan network of minimum length. Gudmundsson, Levcopoulos, and Narasimhan proposed a 4-approximatio...

The construction of deletion codes for the Levenshtein metric is reduced to the construction of codes over the integers for the Manhattan metric by run length coding. The latter codes are constructed by expurgation of translates of lattices. These lattices, in turn, are obtained from Construction A applied to binary codes and Z4−codes. A lower bound on the size of our codes for the Manhattan di...

In layout problem of manufacturing cells, rectangular cells to be positioned without overlapping. The objective is to minimize the total transportation cost. The types of layouts are categorized according to the shape of the transportation system’s track. In the case of a closed loop layout, the track has a rectangular shape. A common difficulty of all layout problems is the manner in which dis...

Pathfinding is used extensively in modern computer games: more efficient pathfinding allows for more units and bigger games. Several heuristics already exist to improve the performance beyond that of heuristics as the Manhattan distance when used in the A* search algorithm. In this paper, the new Boundary Heuristic (along with several variants) is introduced in order to attempt to increase the ...

Developing a stable early warning system (EWS) model that is capable to give an accurate prediction is a challenging task. This paper introduces k-nearest neighbour (k-NN) method which never been applied in predicting currency crisis before with the aim of increasing the prediction accuracy. The proposed k-NN performance depends on the choice of a distance that is used where in our analysis; we...