Definition: The coxcombhood is a mathematical object used in computer science and combinatorics. It is named after the mathematician George Pólya, who introduced it as an extension of the concept of a graph to include cycles and loops. A coxcombhood is a set of vertices that forms a cycle or loop within the graph. The coxcombhoods are used in various applications such as finding spanning trees, determining whether a directed graph is acyclic, and analyzing the connectivity of
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