This paper proposes a new algorithm for finding minimum spanning tree (MST) of a weighted graph which is intrinsically parallel, unlike Kruskal’s algorithm. As far as the running time of the algorithm is concerned, it is faster than both Kruskal’s and Boruvka’s algorithms. However the Prim’s algorithm is bit faster than the proposed algorithm. The parallel implementation of the proposed algorit...

A minimum spanning tree (MST) with a small diameter is required in numerous practical situations. It is needed, for example, in distributed mutual exclusion algorithms in order to minimize the number of messages communicated among processors per critical section. Understanding the behavior of tree diameter is useful, for example, in determining an upper bound on the expected number of links bet...

k-ary m-way networks are especially suitable for broadcasting because of the shared nature of m-way channels. A flit placed on an m-way channel can be accepted concurrently by adjacent routers and node interfaces during a given clock cycle. This paper discusses two modified Minimum Spanning Tree (MST) broadcast algorithms that are designed to work efficiently in k-ary mway networks. The algorit...

Registration is a fundamental task in image processing and quite a few registration techniques have been developed in various fields. In this paper we propose a novel graphrepresentation method for image registration with Rényi entropy as the dissimilarity metric between images. The image matching is performed by minimizing the length of the minimum spanning tree (MST) which spans the graph gen...

Finding dense spanning trees (DST) in unweighted graphs is a variation of the well studied minimum spanning tree problem (MST). We utilize established mathematical properties of extremal structures with the minimum sum of distances between vertices to formulate some general conditions on the sum of vertex degrees. We analyze the performance of various combinations of these degree sum conditions...

This paper describes an efficient technique for computing a hierarchical representation of the objects contained in a complex 3D scene. First, an adjacency graph keeping the costs of grouping the different pairs of objects in the scene is built. Then the minimum spanning tree (MST) of that graph is determined. A binary clustering tree (BCT) is obtained from the MST. Finally, a merging stage joi...

A convergecast is a popular routing in sensor networks. It periodically forwards collected data at every sensor node along a configured routing path to the outside of a sensor network via the base station (BS). To extend the lifetime of energy-limited sensor networks, many previous researches proposed schemes for data compression. However, few researches investigated the relation between packet...

We propose the minimumWiener index spanning tree (MWST) as a routing topology that is suitable for sensor networks with multiple mobile base nodes. However, it was proved that finding a spanning tree with the minimum Wiener index from a weighted graph is NP-hard. To address this problem and analyze the effectiveness of the MWST as the routing tree on sensor networks with multiple mobile base no...

Finding the degree-constrained minimum spanning tree (d-MST) of a graph is a wellstudied NP-hard problem of importance in communications network design and other network-related problems. In this paper we describe some previously proposed algorithms for solving the problem, and then introduce a novel tree construction algorithm called the Randomised Primal Method (RPM) which builds degree-const...