4 papers
Layering and reverse extension for weighted -path vertex cover
Jiajing Wu, An Zhang, Shiming Li +1
We study the weighted -path vertex cover problem for any fixed integer , in which a vertex non-negatively weighted simple graph is given and one wants to f…
Covering vertices by sequential stars
Mengyuan Hu, An Zhang, Yong Chen +5
We study the problem of covering the maximum number of vertices in a graph by a collection of vertex-disjoint stars, each with a number of satellites in a given interval $[k, \ell]…
Maximizing social welfare among EF1 allocations at the presence of two types of agents
Jiaxuan Ma, Yong Chen, Guangting Chen +3
We study the fair allocation of indivisible items to agents to maximize the utilitarian social welfare, where the fairness criterion is envy-free up to one item and there are o…
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…