LNCS 2832 A Practical Minimum Spanning Tree Algorithm Using the Cycle Property 1st edition by Irit Katriel, Peter Sanders, Jesper Larsson Träff ISBN 3540200649 978-3540200642

LNCS 2832 – A Practical Minimum Spanning Tree Algorithm Using the Cycle Property is a technical book authored by Irit Katriel, Peter Sanders, and Jesper Larsson Träff, published as part of the Lecture Notes in Computer Science (LNCS) series. This work presents a minimum spanning tree (MST) algorithm that leverages the cycle property to achieve practical and efficient solutions in graph theory, particularly for problems involving large-scale graphs.

A minimum spanning tree (MST) of a graph is a subset of edges that connects all the vertices in the graph, without forming any cycles, and with the minimal possible total edge weight. This problem has applications in a variety of fields, including network design, clustering, data visualization, and transportation systems.

The cycle property is a key concept in MST algorithms. It states that for any cycle in a graph, the edge with the largest weight is not part of the MST. By utilizing this property, the authors introduce an algorithm that efficiently computes an MST in a way that balances theoretical correctness and practical performance, particularly for large, dense graphs.