9 papers · 1 filter
Approximation Algorithms for Perfect Fair-Triangle Packing
Mingyang Gong, Zhi-Zhong Chen, Brendan Mumey
In this paper, we study the {\em perfect fair-triangle packing} problem (abbreviated as PFTP), which incorporates the fairness criterion from {\em fair clustering} into the {\em ma…
Computing and Enumerating Minimal Common Supersequences Between Two Strings
Braeden Sopp, Adiesha Liyanage, Mingyang Gong +1
Given \(k\) strings each of length at most , computing the shortest common supersequence of them is a well-known NP-hard problem (when \(k\) is unbounded). On the other hand, wh…
Offline green bin packing and its constrained variant
Mingyang Gong, Brendan Mumey
In this paper, we study the {\em green bin packing} (GBP) problem where and are two given values as part of the input. The energy consumed by a bin is $\max…
Approximately Partitioning Vertices into Short Paths
Mingyang Gong, Zhi-Zhong Chen, Brendan Mumey
Given a fixed positive integer and a simple undirected graph , the {\em -path partition} problem, denoted by PP for short, aims to find a minimum collection…
Computing Maximal Repeating Subsequences in a String
Mingyang Gong, Adiesha Liyanage, Braeden Sopp +1
In this paper we initiate the study of computing a maximal (not necessarily maximum) repeating pattern in a single input string, where the corresponding problems have been studied…
An improved local search based algorithm for -star partition
Mingyang Gong, Guohui Lin, Brendan Mumey
We study the -star partition problem that aims to find a minimum collection of vertex-disjoint stars, each having at most vertices to cover all vertices in a simple undire…
Approximation algorithms for scheduling with rejection in green manufacturing
Mingyang Gong, Brendan Mumey
Motivated by green manufacturing, this paper investigates a scheduling with rejection problem subject to an energy consumption constraint. Machines are associated with non-uniform…
Approximation algorithms for non-sequential star packing problems
Mengyuan Hu, An Zhang, Yong Chen +2
For a positive integer , a -star (-star, -star, respectively) is a connected graph containing a degree- vertex and degree- vertices, where $\e…
Approximately covering vertices by order- or longer paths
Mingyang Gong, Zhi-Zhong Chen, Guohui Lin +1
This paper studies , which is to cover as many vertices as possible in a given graph by vertex-disjoint -paths (i.e., paths each with at least five verti…