Séminaire Lotharingien de Combinatoire, 91B.29 (2024), 12 pp.

Emmanuel Briand, Luis Esquivias, Álvaro Gutiérrez, Adrián Lillo and Mercedes Rosas

Determinant of The Distance Matrix of a Tree

Abstract. We present a combinatorial proof of the Graham-Pollak formula for the determinant of the distance matrix of a tree, via sign-reversing involutions and the Lindström-Gessel-Viennot lemma.


Received: November 15, 2023. Accepted: February 15, 2024. Final version: April 1, 2024.

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