Primal dual based algorithm for degree-balanced spanning tree problem

Y Ran, Z Chen, S Tang, Z Zhang - Applied Mathematics and Computation, 2018 - Elsevier
This paper studies approximation algorithm for the degree-balanced spanning tree (DBST)
problem. Given a graph G=(V, E), the goal is to find a spanning tree T such that∑ v∈ V deg …

Solving the degree-concentrated fault-tolerant spanning subgraph problem by DC programming

C Wu, Y Wang, Z Lu, PM Pardalos, D Xu… - Mathematical …, 2018 - Springer
In this paper, we consider the maximum and minimum versions of degree-concentrated fault-
tolerant spanning subgraph problem which has many applications in network …

Global Approximation of Local Optimality: Nonsubmodular Optimization

WL Wu, Z Zhang, DZ Du - Journal of the Operations Research Society of …, 2023 - Springer
In the study of information technology, one of the important efforts is made on dealing with
nonsubmodular optimizations since there are many such problems raised in various areas …

A new approach for solving mixed integer DC programs using a continuous relaxation with no integrality gap and smoothing techniques

T Okuno, Y Ikebe - Optimization, 2021 - Taylor & Francis
In this paper, we consider a class of mixed integer programming problems (MIPs) whose
objective functions are DC functions, that is, functions representable in terms of a difference …

[PDF][PDF] Introduction to Computational Social Networks

W Wu, Z Zhang, DZ Du - utdallas.edu
A network is also called a graph, consisting of a set of nodes and a set of edges. Each edge
is a pair of nodes, also called a link. There are two types of networks, undirected and …

Algorithms for the circle packing problem based on mixed-integer DC programming (New Trends of Numerical Optimization in Advanced Information-Oriented Society)

S Masuda, T Okuno, Y Ikebe - 数理解析研究所講究録, 2019 - repository.kulib.kyoto-u.ac.jp
Circle packing problems are a class of packing problems which attempt to pack a given set
of circles into a container with no overlap. In this paper, we focus on the circle packing …

DC programming approach for mixed-integer nonlinear programming problems (The state-of-the-art optimization technique and future development)

T Okuno, Y Ikebe, K Matsuo - 数理解析研究所講究録, 2017 - repository.kulib.kyoto-u.ac.jp
In this paper, we consider a class of mixed integer programming problems (MIPs) whose
objective functions are DC functions, that is, functions representable in terms of a difference …