Partitioning problems in dense hypergraphs

نویسنده

  • Andrzej Czygrinow
چکیده

We study the general partitioning problem and the discrepancy problem in dense hypergraphs. Using the regularity lemma [16] and its algorithmic version proved in [5], we give polynomial time approximation schemes for the general partitioning problem and for the discrepancy problem.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Parallel algorithms for hypergraph partitioning

Near-optimal decomposition is central to the efficient solution of numerous problems in scientific computing and computer-aided design. In particular, intelligent a priori partitioning of input data can greatly improve the runtime and scalability of large-scale parallel computations. Discrete data structures such as graphs and hypergraphs are used to formalise such partitioning problems, with h...

متن کامل

Consistency of Spectral Hypergraph Partitioning under Planted Partition Model

Hypergraph partitioning lies at the heart of a number of problems in machine learning and network sciences. A number of algorithms exist in the literature that extend standard approaches for graph partitioning to the case of hypergraphs. However, theoretical aspects of such methods have seldom received attention in the literature as compared to the extensive studies on the guarantees of graph p...

متن کامل

Iterative Partitioning with Varying Node Weights

The balanced partitioning problem divides the nodes of a [hyper]graph into groups of approximately equal weight (i.e., satisfying balance constraints) while minimizing the number of [hyper]edges that are cut (i.e., adjacent to nodes in di erent groups). Classic iterative algorithms use the pass paradigm [24] in performing single-node moves [16, 13] to improve the initial solution. To satisfy pa...

متن کامل

Relaxation-Based Coarsening for Multilevel Hypergraph Partitioning

Multilevel partitioning methods that are inspired by principles of multiscaling are the most powerful practical hypergraph partitioning solvers. Hypergraph partitioning has many applications in disciplines ranging from scientific computing to data science. In this paper we introduce the concept of algebraic distance on hypergraphs and demonstrate its use as an algorithmic component in the coars...

متن کامل

Computational Complexity of the Hamiltonian Cycle Problem in Dense Hypergraphs

We study the computational complexity of deciding the existence of a Hamiltonian Cycle in some dense classes of k-uniform hypergraphs. Those problems turned out to be, along with the hypergraph Perfect Matching problems, exceedingly hard, and there is a renewed algorithmic interest in them. In this paper we design a polynomial time algorithm for the Hamiltonian Cycle problem for k-uniform hyper...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Discrete Applied Mathematics

دوره 116  شماره 

صفحات  -

تاریخ انتشار 2002