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A fundamental problem in wireless networks is the \emph{minimum spanning tree} (MST) problem: given a set $V$ of wireless nodes, compute a spanning tree $T$, so that the total cost of $T$ is minimized. In recent years, there has been a lot…

分布式、并行与集群计算 · 计算机科学 2012-06-07 Maleq Khan , V. S. Anil Kumar , Gopal Pandurangan , Guanhong Pei

We survey $k$-best enumeration problems and the algorithms for solving them, including in particular the problems of finding the $k$ shortest paths, $k$ smallest spanning trees, and $k$ best matchings in weighted graphs.

数据结构与算法 · 计算机科学 2014-12-17 David Eppstein

The quadratic minimum spanning tree problem and its variations such as the quadratic bottleneck spanning tree problem, the minimum spanning tree problem with conflict pair constraints, and the bottleneck spanning tree problem with conflict…

数据结构与算法 · 计算机科学 2016-03-16 Ante Ćustić , Ruonan Zhang , Abraham P. Punnen

We address the problem of computing distances between rankings that take into account similarities between candidates. The need for evaluating such distances is governed by applications as diverse as rank aggregation, bioinformatics, social…

数据结构与算法 · 计算机科学 2014-11-20 Farzad Farnoud , Lili Su , Gregory J. Puleo , Olgica Milenkovic

The aim of this paper is to highlight and explore a traditional problem, which is the minimum spanning tree, and finding the shortest-path in network routing, by using Swarm Intelligence. This work to be considered as an investigation topic…

神经与进化计算 · 计算机科学 2015-08-18 Mohamed A. El Galil

The modern scale of data has brought new challenges to Bayesian inference. In particular, conventional MCMC algorithms are computationally very expensive for large data sets. A promising approach to solve this problem is embarrassingly…

机器学习 · 统计学 2015-10-27 Xiangyu Wang , Fangjian Guo , Katherine A. Heller , David B. Dunson

We study the multi-level Steiner tree problem: a generalization of the Steiner tree problem in graphs where terminals $T$ require varying priority, level, or quality of service. In this problem, we seek to find a minimum cost tree…

数据结构与算法 · 计算机科学 2020-05-18 Reyan Ahmed , Faryad Darabi Sahneh , Keaton Hamm , Stephen Kobourov , Richard Spence

In the laminar-constrained spanning tree problem, the goal is to find a minimum-cost spanning tree which respects upper bounds on the number of times each cut in a given laminar family is crossed. This generalizes the well-studied…

数据结构与算法 · 计算机科学 2023-04-18 Nathan Klein , Neil Olver

The most popular algorithms for generation of minimal spanning tree are Kruskal and Prim algorithm. Many algorithms have been proposed for generation of all spanning tree. This paper deals with generation of all possible spanning trees in…

数据结构与算法 · 计算机科学 2012-09-20 Barun Biswas , Krishnendu Basuli , Saptarshi Naskar , Saomya Chakraborti , Samar Sen Sarma

Recombinant binomial trees are binary trees where each non-leaf node has two child nodes, but adjacent parents share a common child node. Such trees arise in finance when pricing an option. For example, valuation of a European option can be…

统计计算 · 统计学 2018-10-30 Sai K. Popuri , Andrew M. Raim , Nagaraj K. Neerchal , Matthias K. Gobbert

We provide algorithms for the minimum 2-edge-connected spanning subgraph problem and the minimum 2-vertex-connected spanning subgraph problem with approximation ratio both $\frac{4}{3}$. Using a common theme, the algorithms and their…

数据结构与算法 · 计算机科学 2024-07-16 Ali Çivril

Routing and scheduling problems are fundamental problems in combinatorial optimization, and also have many applications. Most variations of these problems are NP-Hard, so we need to use heuristics to solve these problems on large instances,…

数据结构与算法 · 计算机科学 2015-02-20 Arindam Pal

Many recent approximation algorithms for different variants of the traveling salesman problem (asymmetric TSP, graph TSP, s-t-path TSP) exploit the well-known fact that a solution of the natural linear programming relaxation can be written…

离散数学 · 计算机科学 2016-01-06 Jens Vygen

System performance for networks composed of interconnected subsystems can be increased if the traditionally separated subsystems are jointly optimized. Recently, parallel and distributed optimization methods have emerged as a powerful tool…

最优化与控制 · 数学 2013-02-14 Ion Necoara , Valentin Nedelcu , Ioan Dumitrache

We consider a Min-Power Bounded-Hops Symmetric Connectivity problem that consists in the construction of communication spanning tree on a given graph, where the total energy consumption spent for the data transmission is minimized and the…

数据结构与算法 · 计算机科学 2019-02-20 Roman Plotnikov , Adil Erzin

Emerging reconfigurable optical communication technologies allow to enhance datacenter topologies with demand-aware links optimized towards traffic patterns. This paper studies the algorithmic problem of jointly optimizing topology and…

性能 · 计算机科学 2024-01-10 Wenkai Dai , Michael Dinitz , Klaus-Tycho Foerster , Long Luo , Stefan Schmid

We consider the vehicle routing problem with stochastic demands (VRPSD) on tree structured networks with a single depot. The problem we are concerned with in this paper is to find a set of tours for the vehicle with minimum expected length.…

数据结构与算法 · 计算机科学 2013-04-23 Shalabh Vidyarthi , Kaushal K Shukla

We significantly improve known time bounds for solving the minimum cut problem on undirected graphs. We use a ``semi-duality'' between minimum cuts and maximum spanning tree packings combined with our previously developed random sampling…

数据结构与算法 · 计算机科学 2007-05-23 David R. Karger

The cable-trench problem is defined as a linear combination of the shortest path and the minimum spanning tree problem. In particular, the goal is to find a spanning tree that simultaneously minimizes its total length and the total path…

最优化与控制 · 数学 2023-12-22 Lara Löhken , Michael Stiglmayr

As the development of distributed systems progresses, more and more challenges arise and the need for developing optimized systems and for optimizing existing systems from multiple perspectives becomes more stringent. In this paper I…

数据结构与算法 · 计算机科学 2009-03-21 Mugurel Ionut Andreica