Cactus Graphs and Some Algorithms

Abstract

A cactus graph is a connected graph in which every block is either an edge or a cycle. In this paper, we consider several problems of graph theory and developed optimal algorithms to solve such problems on cactus graphs. The running time of these algorithms is O(n), where n is the total number of vertices of the graph. The cactus graph has many applications in real life problems, especially in radio communication system.