Approximation and FPT Algorithms for Finding DM-Irreducible Spanning Subgraphs

R Norose, Y Yamaguchi - arxiv preprint arxiv:2404.17927, 2024 - arxiv.org
Finding a minimum-weight strongly connected spanning subgraph of an edge-weighted
directed graph is equivalent to the weighted version of the well-known strong connectivity …

How to secure matchings against edge failures

F Hommelsheim, M Mühlenthaler, O Schaudt - SIAM Journal on Discrete …, 2021 - SIAM
Suppose we are given a bipartite graph that admits a perfect matching and an adversary
may delete any edge from the graph with the intention of destroying all perfect matchings …

[HTML][HTML] Hierarchical Structural Analysis Method for Complex Equation-Oriented Models

C Wang, L Wan, T **ong, Y **e, S Wang, J Ding… - Mathematics, 2021 - mdpi.com
Structural analysis is a method for verifying equation-oriented models in the design of
industrial systems. Existing structural analysis methods need flattening of the hierarchical …

Making Bidirected Graphs Strongly Connected

T Matsuoka, S Sato - Algorithmica, 2020 - Springer
The problem of making a given directed graph strongly connected was well-investigated by
Eswaran and Tarjan (SIAM J Comput 5: 653–665, 1976). In contrast, the problem of making …