منابع مشابه
Stochastic Inverse Minimum Spanning Tree Problem†
An inverse minimum spanning tree problem is to make the least modification on the edge weights such that a predetermined spanning tree is a minimum spanning tree with respect to the new edge weights. In this paper, the stochastic inverse minimum spanning tree problem is investigated. The concept of α-minimum spanning tree is initiated, and subsequently an α-minimum spanning tree model and a pro...
متن کاملSOLVING A STEP FIXED CHARGE TRANSPORTATION PROBLEM BY A SPANNING TREE-BASED MEMETIC ALGORITHM
In this paper, we consider the step fixed-charge transportation problem (FCTP) in which a step fixed cost, sometimes called a setup cost, is incurred if another related variable assumes a nonzero value. In order to solve the problem, two metaheuristic, a spanning tree-based genetic algorithm (GA) and a spanning tree-based memetic algorithm (MA), are developed for this NP-hard problem. For compa...
متن کاملThe probabilistic minimum spanning tree problem
In this paper we consider a natural probabilistic variation of the classical minimum spanning tree problem (MST), which we call the probabilistic minimum spanning tree problem (PMST). In particular, we consider the case where not all the points are deterministically present, but are present with certain probability. We discuss the applications of the PMST and find a closed-form expression for t...
متن کاملThe (K, k)-Capacitated Spanning Tree Problem
This paper considers a generalization of the capacitated spanning tree, in which some of the nodes have capacity K, and the others have capacity k < K. We prove that the problem can be approximated within a constant factor, and present better approximations when k is 1 or 2.
متن کاملThe Directed Minimum-Degree Spanning Tree Problem
Consider a directed graph G = (V,E) with n vertices and a root vertex r ∈ V . The DMDST problem for G is one of constructing a spanning tree rooted at r, whose maximal degree is the smallest among all such spanning trees. The problem is known to be NP-hard. A quasipolynomial time approximation algorithm for this problem is presented. The algorithm finds a spanning tree whose maximal degree is a...
متن کاملذخیره 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: Discrete Applied Mathematics
سال: 1981
ISSN: 0166-218X
DOI: 10.1016/0166-218x(81)90004-4