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arXiv · 1904.03962

Spanning tree modulus for secure broadcast games

Nathan Albin·Kapila Kottegoda·Pietro Poggi-Corradini
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Abstract

The theory of $p$-modulus provides a general framework for quantifying the richness of a family of objects on a graph. When applied to the family of spanning trees, $p$-modulus has an interesting probabilistic interpretation. In particular, the $2$-modulus problem in this case has been shown to be equivalent to the problem of finding a probability distribution on spanning trees that utilizes the edges of the graph as evenly as possible. In the present work, we use this fact to produce a game-theoretic interpretation of modulus by employing modulus to solve a secure broadcast game.

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Nathan Albin, Kapila Kottegoda, Pietro Poggi-Corradini. 2019-04-08. Spanning tree modulus for secure broadcast games. https://arxiv.org/abs/1904.03962

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