Ana Luzón, Manuel A. Morón
Published 2012-02-03Version 1
We use some basic properties of binomial and Stirling numbers to prove that the Euler characteristic is, essentially, the unique numerical topological invariant for compact polyhedra which can be expressed as a linear combination of the numbers of faces of triangulations. We obtain this result converting it into an eigenvalue problem.
New upper bounds for the bondage number of a graph in terms of its maximum degree and Euler characteristic
Connecting the Stirling numbers and $k$-bonacci sums
New series with Cauchy and Stirling numbers, Part 2
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