Hypergraph k-cut in randomized polynomial time
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 …
hyperedges whose removal leads to at least k connected components in the remaining …
Minimum cuts and sparsification in hypergraphs
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 …
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 …
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
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 …
obtained the first deterministic algorithm for the global minimum cut of a weighted undirected …
Random contractions and sampling for hypergraph and hedge connectivity
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 …
edge failures in real-world networks. In this model, edges are partitioned into groups called …
Computing minimum cuts in hypergraphs
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 …
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) …
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 …
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
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 …
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 …
design phase, VLSI physical design is an extremely tedious and error‐prone process. In this …