This paper first discusses the storage structure of trees, selects a convenient storage method for solving the nullity of trees, and then applies the relationship between the maximum matching number ...

This Java code implements Prim's Algorithm to find the Minimum Spanning Tree (MST) of a given weighted graph represented by a cost matrix. It reads the cost matrix and number of vertices from user ...

Abstract: This paper presents a simple algorithm for finding Steiner spanning trees. A Steiner spanning tree connects a set of terminal vertices in a tree with minimal total edge weight. The proposed ...

Abstract: The minimal spanning tree is a structure used in solving certain types of combinatorial optimization problems. Popular application areas include network design such as roads, telephone, ...

ABSTRACT: The vertex connectivity k(G) of a graph G is the minimum number of nodes whose deletion disconnects it. Graph connectivity is one of the most fundamental problems in graph theory. In this ...

The attached code has an example implementation. See code for references to original sources. Also see source:networkx/networkx/algorithms/tests/test_mst.py for some ...

Quantum algorithms for several problems in graph theory are considered. Classical algorithms for finding the lowest weight path between two points in a graph and for finding a minimal weight spanning ...