AI Chat AI Image Generator AI Video Text to Speech

Compression with wildcards: All spanning trees

02/22/2020

∙

by Marcel Wild, et al.

∙

∙

By processing all minimal cutsets of a graph G, and by using novel wildcards, all spanning trees of G can be compactly encoded. Thus, different from all previous enumeration schemes, the spanning trees are not generated one-by-one. The Mathematica implementation of one of our algorithms generated for a random (11,50)-graph its 819'603'181 spanning trees, in bundles of size about 400, within 52 seconds.

page 1

page 2

page 3

page 4

research

∙ 03/18/2019

The facets of the spanning trees polytope

Let G=(V, E) be an undirected graph. The spanning trees polytope P(G) is...

0 Brahim Chaourar, et al. ∙

research

∙ 10/04/2022

Rainbow spanning trees in randomly coloured G_k-out

Given a graph G=(V,E) on n vertices and an assignment of colours to its ...

0 Deepak Bal, et al. ∙

research

∙ 06/24/2022

A transient equivalence between Aldous-Broder and Wilson's algorithms and a two-stage framework for generating uniform spanning trees

The Aldous-Broder and Wilson are two well-known algorithms to generate u...

0 Igor Nunes, et al. ∙

research

∙ 10/24/2022

Edge-Cuts and Rooted Spanning Trees

We give a closed form formula to determine the size of a k-respecting cu...

0 Mohit Daga, et al. ∙

research

∙ 06/27/2018

Linear Algebra and Number of Spanning Trees

A network-theoretic approach for determining the complexity of a graph i...

0 E. M. Badr, et al. ∙

research

∙ 12/18/2019

Slim Graph: Practical Lossy Graph Compression for Approximate Graph Processing, Storage, and Analytics

We propose Slim Graph: the first programming model and framework for pra...

0 Maciej Besta, et al. ∙

research

∙ 05/27/2015

New characterizations of minimum spanning trees and of saliency maps based on quasi-flat zones

We study three representations of hierarchies of partitions: dendrograms...

0 Jean Cousty, et al. ∙