Minimum Spanning Tree Method for Sparse Graphs

نویسندگان

چکیده

The minimum spanning tree (MST) is widely used in planning the most economical network. algorithm for finding MST of a connected graph essential. In this paper, new proposed based on deduced theorem MST. first sorts edges according to their weight, from large small. Next, premise ensuring connectivity graph, it deletes order until number equal vertexes minus 1. Finally, remaining an This equivalent inverse Kruskal algorithm. For sparse graphs, has higher efficiency than Experiments and analysis verify effectiveness paper. provides better choice graph.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

algorithms for parametric minimum spanning tree problems on planar graphs ’

A linear-time algorithm for the minimum-ratio spanning tree problem on planar graphs is presented. The algorithm is based on a new planar minimum spanning tree algorithm. The approach extends to other parametric minimum spanning tree problems on planar graphs and to other families of graphs having small separators.

متن کامل

A linearization method for quadratic minimum spanning tree problem

The crisp and fuzzy quadratic minimum spanning tree (Q-MST) problem can be formulated as a linear model, and thus, the global optimum can be obtained by the proposed method. Conventionally, the Q-MST problem, which contains a quadratic term in the objective function, is solved by genetic algorithm and other heuristic methods. However, these methods cannot guarantee to obtain a global optimal so...

متن کامل

4 Minimum Spanning Tree

This first algorithm is quite simple. (Though this was probably known earlier, its proof can be found in Prof. Indyk’s 1999 paper “Sublinear Time Algorithms for Metric Space Problems”.) Let Dij denote the distance between a pair of points i and j, over m total points. The entries of Dij must satisfy the triangle inequality; additionally the matrix is symmetric. Note that the matrix size (i.e., ...

متن کامل

A Metaheuristic Algorithm for the Minimum Routing Cost Spanning Tree Problem

The routing cost of a spanning tree in a weighted and connected graph is defined as the total length of paths between all pairs of vertices. The objective of the minimum routing cost spanning tree problem is to find a spanning tree such that its routing cost is minimum. This is an NP-Hard problem that we present a GRASP with path-relinking metaheuristic algorithm for it. GRASP is a multi-start ...

متن کامل

Minimum Edge Ranking Spanning Tree Problem on Interval Graphs

The minimum edge ranking spanning tree problem on graph G is to find a spanning tree T of G such that the minimum edge ranking of T is minimum among all possible spanning trees of G. In this paper, we propose a linear-time algorithm for this problem on interval graphs.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Mathematical Problems in Engineering

سال: 2023

ISSN: ['1026-7077', '1563-5147', '1024-123X']

DOI: https://doi.org/10.1155/2023/8591115