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arXiv · 1305.6441

Matrices of forests, analysis of networks, and ranking problems

Pavel Chebotarev·Rafig Agaev
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Abstract

The matrices of spanning rooted forests are studied as a tool for analysing the structure of networks and measuring their properties. The problems of revealing the basic bicomponents, measuring vertex proximity, and ranking from preference relations / sports competitions are considered. It is shown that the vertex accessibility measure based on spanning forests has a number of desirable properties. An interpretation for the stochastic matrix of out-forests in terms of information dissemination is given.

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Pavel Chebotarev, Rafig Agaev. 2013-05-28. Matrices of forests, analysis of networks, and ranking problems. https://doi.org/10.1016/j.procs.2013.05.145

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