Progress on material characterization methods under big data environment

L Chen, C Lan, B Xu, K Bi - Advanced Composites and Hybrid Materials, 2021 - Springer
Material characterization is a non-substitutable and important part of high-throughput
computational material science under big data environment. With the development of …

Partitioning a graph into small pieces with applications to path transversal

E Lee - Proceedings of the Twenty-Eighth Annual ACM-SIAM …, 2017 - SIAM
Given a graph G=(V, E) and an integer k∊ ℕ, we study k-Vertex Separator (resp. k-Edge
Separator), where the goal is to remove the minimum number of vertices (resp. edges) such …

Vertex Cover of Networks and Its Related Optimization Problems: An Overview

J Chen, R Zhou, J Wu, H Zhang… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
As a well-known NP-hard problem, the vertex cover problem has broad applications, which
has aroused the concern of many researchers. In recent years, its related optimization …

On computing the minimum 3-path vertex cover and dissociation number of graphs

F Kardoš, J Katrenič, I Schiermeyer - Theoretical Computer Science, 2011 - Elsevier
The dissociation number of a graph G is the number of vertices in a maximum size induced
subgraph of G with vertex degree at most 1. A k-path vertex cover of a graph G is a subset S …

Relief aid provision to en route refugees: Multi-period mobile facility location with mobile demand

OB Bayraktar, D Günneç, FS Salman, E Yücel - European Journal of …, 2022 - Elsevier
Many humanitarian organizations aid en route refugee groups who are on their journey to
cross borders using mobile facilities and need to decide the number and routes of the …

On the maximal number of maximum dissociation sets in forests with fixed order and dissociation number

W Sun, S Li - Taiwanese Journal of Mathematics, 2023 - projecteuclid.org
Given a graph $ G $ with $ S\subseteq V_G $, we call $ S $ a maximum dissociation set if
the induced subgraph $ G [S] $ contains no path of order $3 $, and subject to this condition …

A primal–dual approximation algorithm for the vertex cover P3 problem

J Tu, W Zhou - Theoretical Computer Science, 2011 - Elsevier
We introduce the vertex coverPn (VCPn) problem, that is, the problem of finding a minimum
weight set F⊂ V such that the graph G [V− F] has no Pn, where Pn is a path with n vertices …

A factor 2 approximation algorithm for the vertex cover P3 problem

J Tu, W Zhou - Information Processing Letters, 2011 - Elsevier
We consider the vertex coverPn (VCPn) problem, that is, the problem of finding a minimum
weight set F⊂ V such that the graph G [V− F] has no Pn, where Pn is a path with n vertices …

[HTML][HTML] On the vertex k-path cover

B Brešar, M Jakovac, J Katrenič, G Semanišin… - Discrete Applied …, 2013 - Elsevier
A subset S of vertices of a graph G is called a vertex k-path cover if every path of order k in G
contains at least one vertex from S. Denote by ψk (G) the minimum cardinality of a vertex k …

[HTML][HTML] Exact algorithms for the maximum dissociation set and minimum 3-path vertex cover problems

M **ao, S Kou - Theoretical Computer Science, 2017 - Elsevier
A dissociation set in a graph G=(V, E) is a vertex subset D such that the subgraph G [D]
induced on D has vertex degree at most 1. A 3-path vertex cover in a graph is a vertex …