Hypergraph Partitioning with Fixed Vertices - Alpert, Caldwell, et al. - 2000 () Citation Context ...0341 vertices in IBM18. Additionally, partitioning in the context of VLSI placement results in hypergraphs with fixed vertices. Benchmark hypergraphs with fixed vertices were released at ISPD in ...
Hypergraph partitioning with fixed vertices [VLSI CAD] We empirically assess the implications of fixed terminals for hypergraph partitioning heuristics. Our experimental testbed incorporates a leading-edge mult... CJ Alpert,AE Caldwell - 《IEEE Transactions on Computer Aided Design of Integrated Circuits ...
KaHyPar (Karlsruhe Hypergraph Partitioning) is a multilevel hypergraph partitioning framework providing direct k-way and recursive bisection based partitioning algorithms that compute solutions of very high quality. - kahypar/kahypar
Deterministic enumeration of all minimum k-cut-sets in hypergraphs for fixed k (SODA, 2022) [paper] Min-max Partitioning of Hypergraphs and Symmetric Submodular Functions (SODA, 2021) [paper] Non-linear Hamilton cycles in linear quasi-random hypergraphs (SODA, 2021) [paper] Finding Perfect Match...
Given a hypergraph on $n$ vertices and $k$ sizes of colours $t_{1},\\dots ,t_k$ of sum $n$, can we colour the vertices with $k$ colours of given size such that each hyperedge intersects at most $l$ colours? We show that, for fixed parameters $k$ and $l, P_k^l$ is:...
KaHyPar:https://github.com/kahypar/kahypar(Hypergraph Partitioning) HAT:https://github.com/Jpickard1/Hypergraph-Analysis-Toolbox(Hypergraph Analysis) Hypergraph:https://github.com/yamafaktory/hypergraph(Data Structure) Hypergraph Task Hypergraph Embedding:https://paperswithcode.com/task/hypergraph-embedding...
Turán's problem is to determine the maximum number T(n,k,t) of t -element subsets of an n -set without a complete sub-hypergraph on k vertices, i.e., all t -subsets of a k -set. It is proved that for a ≥1 fixed and t sufficiently la... P Frankl,V Rödl - 《Graphs ...
(hyper)graph problems, for instance vertex partitioning, cuts in graphs, coloring of vertices and hyperarc partitioning, but the paper does not include any numerical experiments or the modeling of social networks with hypergraphs. In comparison, our gradient, adjoint, andp-Laplacian definitions are ...
Remarkably, even with θ fixed at 1, the performance remains very close to the highest accuracy attainable (color figure online) Full size image Fig. 16 a Cardinalities of subsets, upon which both h-motifs and 3h-motifs are defined, exhibit a strong bias toward the value 1 in all datasets...
M is reversible if and only if a weighted, undirected graph G exists with a vertex set S, such that a random walk on G is equivalent to M [3]. Theorem 1 Assume a hypergraph Gind={V,E,Wind}, where V and E are the sets of vertices and hyperedges, respectively, and Wind is the...