Abstract. A fast method is presented for finding a fundamental set of cycles for an undirected finite graph. A spanning tree is grown and the vertices examined ...
Given the adjacency matrix of the graph, the algorithm presented in this paper finds a spanning tree and then constructs the set of fundamental cycles.
The following problem is considered: Given an undirected, connected graph G, find a spanning tree in G such that the sum of the lengths of the fundamental ...
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Mar 24, 2018 · Finding a fundamental Cycle Set forming a complete basis to enumerate all cycles of a given undirected graph.
Algorithms for the computation of undirected cycle basis · K. Paton, An algorithm for finding a fundamental set of cycles for an undirected linear graph, Comm.
An algorithm for finding a fundamental set of cycles of a graph. Comm. ACM ... line search incremental cycle detector for dense graphs from BFGT15 (Section 3).
Sep 11, 2012 · The standard baseline algorithm for finding a cycle base for an undirected graph is this : Build a spanning tree and then for each edge which is ...
Generate a set of fundamental cycles by building a spanning tree (forest) using a straightforward implementation of BFS using a FIFO queue. The implementation ...