Hypergraph k-cut in randomized polynomial time

K Chandrasekaran, C Xu, X Yu - Mathematical Programming, 2021 - Springer
For a fixed integer k ≥ 2 k≥ 2, the hypergraph k-cut problem asks for a smallest subset of
hyperedges whose removal leads to at least k connected components in the remaining …

Minimum cuts and sparsification in hypergraphs

C Chekuri, C Xu - SIAM Journal on Computing, 2018 - SIAM
We study algorithmic and structural aspects of connectivity in hypergraphs. Given a
hypergraph H=(V,E) with n=|V|, m=|E|, and p=e∈E|e| the fastest known algorithm to compute …

Mathematical methods for physical layout of printed circuit boards: an overview

N Abboud, M Grötschel, T Koch - OR Spectrum, 2008 - Springer
Mathematical methods for physical layout of printed circuit boards: an overview Page 1 OR
Spectrum (2008) 30:453–468 DOI 10.1007/s00291-007-0080-9 REGULAR ARTICLE …

[PDF][PDF] Isolating cuts,(bi-) submodularity, and faster algorithms for connectivity

C Chekuri, K Quanrud - 48th International Colloquium on …, 2021 - drops.dagstuhl.de
Abstract Li and Panigrahi [Jason Li and Debmalya Panigrahi, 2020], in recent work,
obtained the first deterministic algorithm for the global minimum cut of a weighted undirected …

Random contractions and sampling for hypergraph and hedge connectivity

M Ghaffari, DR Karger, D Panigrahi - Proceedings of the Twenty-Eighth Annual …, 2017 - SIAM
We initiate the study of hedge connectivity of undirected graphs, motivated by dependent
edge failures in real-world networks. In this model, edges are partitioned into groups called …

Computing minimum cuts in hypergraphs

C Chekuri, C Xu - Proceedings of the Twenty-Eighth Annual ACM-SIAM …, 2017 - SIAM
We study algorithmic and structural aspects of connectivity in hypergraphs. Given a
hypergraph H=(V, E) with n=│ V│, m=| E| and p= Σ e∊ E lel the fastest known algorithm to …

Minimum Cut and Minimum k-Cut in Hypergraphs via Branching Contractions

K Fox, D Panigrahi, F Zhang - Proceedings of the Thirtieth Annual ACM-SIAM …, 2019 - SIAM
On hypergraphs with m hyperedges and n vertices, where p denotes the total size of the
hyperedges, we provide the following results: We give an algorithm that runs in Õ (mn 2 k–2) …

Divide-and-conquer algorithms for partitioning hypergraphs and submodular systems

K Okumoto, T Fukunaga, H Nagamochi - Algorithmica, 2012 - Springer
The submodular system k-partition problem is a problem of partitioning a given finite set V
into k non-empty subsets V 1, V 2,…, V k so that i=1^kf(V_i) is minimized where f is a non …

Strongly polynomial bounds for multiobjective and parametric global minimum cuts in graphs and hypergraphs

H Aissi, AR Mahjoub, ST McCormick… - Mathematical …, 2015 - Springer
We consider multiobjective and parametric versions of the global minimum cut problem in
undirected graphs and bounded-rank hypergraphs with multiple edge cost functions. For a …

VLSI circuit layout

L Zhang - Wiley Encyclopedia of Computer Science and …, 2007 - Wiley Online Library
VLSI circuits have experienced significant growth in the past half a century. As an important
design phase, VLSI physical design is an extremely tedious and error‐prone process. In this …