Missing The Forest to Count the Trees: Spanning Tree Enumeration in Complete and Non-Complete Graphs

نویسنده

  • George Dimitoglou
چکیده

Spanning trees have been studied extensively and have many practical applications. From astronomers using spanning trees to find quasar superstructures, to biomedical engineers detecting actin fibers in cell images tree enumeration remains an interesting problem. In this paper we examine a simple, practical, algebraic approach for the enumeration of spanning trees in complete and non-complete graphs based on Cayley’s formula and Kirchoff’s Theorem.

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تاریخ انتشار 2009