Geometri Minimum Spanning Trees

Geometri Minimum Spanning Trees via Well-Separated Pair De ompositions

Counting the number of spanning trees of graphs

A spanning tree of graph G is a spanning subgraph of G that is a tree. In this paper, we focus our attention on (n,m) graphs, where m = n, n + 1, n + 2, n+3 and n + 4. We also determine some coefficients of the Laplacian characteristic polynomial of fullerene graphs.

Representing all Minimum Spanning Trees with Applications to Counting and Generation

We show that for any edge-weighted graph G there is an equivalent graph EG such that the minimum spanning trees of G correspond one-for-one with the spanning trees of EG. The equivalent graph can be constructed in time O(m + n log n) given a single minimum spanning tree of G. As a consequence we can count the minimum spanning trees of G in time O(m+ n), generate a random minimum spanning tree i...

Summary of “A Distributed Algorithm for Minimum-Weight Spanning Trees”

This document summarizes the article published by Gallagerher et. al on “A Distributed Algorithm for Minimum-Weight Spanning Trees”. The asynchronous distributed algorithm determines a minimum-weight spanning tree for an undirected graph that has distinct finite weights for every edge.

Optimal Self-healing of Smart Distribution Grids Based on Spanning Trees to Improve System Reliability

In this paper, a self-healing approach for smart distribution network is presented based on Graph theory and cut sets. In the proposed Graph theory based approach, the upstream grid and all the existing microgrids are modeled as a common node after fault occurrence. Thereafter, the maneuvering lines which are in the cut sets are selected as the recovery path for alternatives networks by making ...