1 code implementation • 23 Jun 2023 • Zhengren Wang, Yi Zhou, Chunyu Luo, Mingyu Xiao, Jin-Kao Hao
We define a novel parameter of the input instance, $g_k(G)$, the gap between the degeneracy bound and the size of the maximum $k$-plex in the given graph, and present an exact algorithm parameterized by this $g_k(G)$, which has a worst-case running time polynomial in the size of the input graph and exponential in $g_k(G)$.
no code implementations • 24 Apr 2022 • Mengfan Ma, Mingyu Xiao, Tian Bai, Bakh Khoussainov
Thus, the cost of each agent is determined by both the distance to the facility and the entrance fee of the facility.
1 code implementation • 17 Feb 2022 • Zhengren Wang, Yi Zhou, Mingyu Xiao, Bakhadyr Khoussainov
Our first contribution is algorithm ListPlex that lists all maximal $k$-plexes in $O^*(\gamma^D)$ time for each constant $k$, where $\gamma$ is a value related to $k$ but strictly smaller than 2, and $D$ is the degeneracy of the graph that is far less than the vertex number $n$ in real-word graphs.
no code implementations • 17 Dec 2020 • Zhenyu Guo, Mingyu Xiao, Yi Zhou, Dongxiang Zhang, Kian-Lee Tan
The graph edge partition problem, which is to split the edge set into multiple balanced parts to minimize the total number of copied vertices, has been widely studied from the view of optimization and algorithms.
no code implementations • 17 Sep 2019 • Sen Huang, Mingyu Xiao
We first consider whether an object is reachable for a given agent under a social network, where a trade between two agents is allowed if they are neighbors in the network and no participant has a deficit from the trade.