On a conjecture concerning spanning tree invariants and loop systems

Spanning tree invariants, loop systems a

Spanning tree invariants, loop systems and doubly stochastic matrices

✍ Ricardo Gómez; José Miguel Salazar 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 260 KB

The spanning tree invariant of Lind and Tuncel [12] is observed in the context of loop systems of Markov chains. For n = 1, 2, 3 the spanning tree invariants of the loop systems of a Markov chain determined by an irreducible stochastic (n × n)-matrix P coincide if and only if P is doubly stochastic