FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2133453606> ?p ?o ?g. }

• W2133453606 abstract "We study the problem of approximately counting matchings in hypergraphs of bounded maximum degree and maximum size of hyperedges. With an activity parameter $lambda$, each matching $M$ is assigned a weight $lambda^{|M|}$. The counting problem is formulated as computing a partition function that gives the sum of the weights of all matchings in a hypergraph. This problem unifies two extensively studied statistical physics models in approximate counting: the hardcore model (graph independent sets) and the monomer-dimer model (graph matchings). For this model, the critical activity $lambda_c= frac{d^d}{k (d-1)^{d+1}}$ is the threshold for the uniqueness of Gibbs measures on the infinite $(d+1)$-uniform $(k+1)$-regular hypertree. Consider hypergraphs of maximum degree at most $k+1$ and maximum size of hyperedges at most $d+1$. We show that when $lambda < lambda_c$, there is an FPTAS for computing the partition function; and when $lambda = lambda_c$, there is a PTAS for computing the log-partition function. These algorithms are based on the decay of correlation (strong spatial mixing) property of Gibbs distributions. When $lambda > 2lambda_c$, there is no PRAS for the partition function or the log-partition function unless NP$=$RP. Towards obtaining a sharp transition of computational complexity of approximate counting, we study the local convergence from a sequence of finite hypergraphs to the infinite lattice with specified symmetry. We show a surprising connection between the local convergence and the reversibility of a natural random walk. This leads us to a barrier for the hardness result: The non-uniqueness of infinite Gibbs measure is not realizable by any finite gadgets." @default.
• W2133453606 created "2016-06-24" @default.
• W2133453606 creator A5016322133 @default.
• W2133453606 creator A5016981549 @default.
• W2133453606 creator A5036110657 @default.
• W2133453606 date "2015-03-19" @default.
• W2133453606 modified "2023-09-27" @default.
• W2133453606 title "Counting hypergraph matchings up to uniqueness threshold" @default.
• W2133453606 cites W1606916541 @default.
• W2133453606 cites W1682699604 @default.
• W2133453606 cites W1728703596 @default.
• W2133453606 cites W1799220988 @default.
• W2133453606 cites W1978099451 @default.
• W2133453606 cites W1986631610 @default.
• W2133453606 cites W1987107795 @default.
• W2133453606 cites W1991832118 @default.
• W2133453606 cites W2004724832 @default.
• W2133453606 cites W2017226731 @default.
• W2133453606 cites W2037389370 @default.
• W2133453606 cites W2048759201 @default.
• W2133453606 cites W2106285343 @default.
• W2133453606 cites W2120894224 @default.
• W2133453606 cites W2122925607 @default.
• W2133453606 cites W2163208395 @default.
• W2133453606 cites W2163310340 @default.
• W2133453606 cites W2165356592 @default.
• W2133453606 cites W2218979919 @default.
• W2133453606 cites W2255872111 @default.
• W2133453606 cites W2285670408 @default.
• W2133453606 cites W2549123310 @default.
• W2133453606 cites W2568137784 @default.
• W2133453606 cites W2568660165 @default.
• W2133453606 cites W2949117032 @default.
• W2133453606 cites W2950334461 @default.
• W2133453606 cites W3081001064 @default.
• W2133453606 cites W3102794847 @default.
• W2133453606 cites W800727877 @default.
• W2133453606 cites W9125994 @default.
• W2133453606 doi "https://doi.org/10.48550/arxiv.1503.05812" @default.
• W2133453606 hasPublicationYear "2015" @default.
• W2133453606 type Work @default.
• W2133453606 sameAs 2133453606 @default.
• W2133453606 citedByCount "3" @default.
• W2133453606 countsByYear W21334536062015 @default.
• W2133453606 countsByYear W21334536062016 @default.
• W2133453606 crossrefType "posted-content" @default.
• W2133453606 hasAuthorship W2133453606A5016322133 @default.
• W2133453606 hasAuthorship W2133453606A5016981549 @default.
• W2133453606 hasAuthorship W2133453606A5036110657 @default.
• W2133453606 hasBestOaLocation W21334536061 @default.
• W2133453606 hasConcept C114614502 @default.
• W2133453606 hasConcept C118615104 @default.
• W2133453606 hasConcept C120665830 @default.
• W2133453606 hasConcept C121332964 @default.
• W2133453606 hasConcept C132525143 @default.
• W2133453606 hasConcept C134306372 @default.
• W2133453606 hasConcept C197657726 @default.
• W2133453606 hasConcept C24890656 @default.
• W2133453606 hasConcept C2775997480 @default.
• W2133453606 hasConcept C2777021972 @default.
• W2133453606 hasConcept C2778113609 @default.
• W2133453606 hasConcept C2778401447 @default.
• W2133453606 hasConcept C2781221856 @default.
• W2133453606 hasConcept C33923547 @default.
• W2133453606 hasConcept C34388435 @default.
• W2133453606 hasConcept C42812 @default.
• W2133453606 hasConcept C62520636 @default.
• W2133453606 hasConceptScore W2133453606C114614502 @default.
• W2133453606 hasConceptScore W2133453606C118615104 @default.
• W2133453606 hasConceptScore W2133453606C120665830 @default.
• W2133453606 hasConceptScore W2133453606C121332964 @default.
• W2133453606 hasConceptScore W2133453606C132525143 @default.
• W2133453606 hasConceptScore W2133453606C134306372 @default.
• W2133453606 hasConceptScore W2133453606C197657726 @default.
• W2133453606 hasConceptScore W2133453606C24890656 @default.
• W2133453606 hasConceptScore W2133453606C2775997480 @default.
• W2133453606 hasConceptScore W2133453606C2777021972 @default.
• W2133453606 hasConceptScore W2133453606C2778113609 @default.
• W2133453606 hasConceptScore W2133453606C2778401447 @default.
• W2133453606 hasConceptScore W2133453606C2781221856 @default.
• W2133453606 hasConceptScore W2133453606C33923547 @default.
• W2133453606 hasConceptScore W2133453606C34388435 @default.
• W2133453606 hasConceptScore W2133453606C42812 @default.
• W2133453606 hasConceptScore W2133453606C62520636 @default.
• W2133453606 hasLocation W21334536061 @default.
• W2133453606 hasLocation W21334536062 @default.
• W2133453606 hasLocation W21334536063 @default.
• W2133453606 hasOpenAccess W2133453606 @default.
• W2133453606 hasPrimaryLocation W21334536061 @default.
• W2133453606 hasRelatedWork W1582582536 @default.
• W2133453606 hasRelatedWork W1984103551 @default.
• W2133453606 hasRelatedWork W2030668571 @default.
• W2133453606 hasRelatedWork W2047997039 @default.
• W2133453606 hasRelatedWork W2510161366 @default.
• W2133453606 hasRelatedWork W2551784484 @default.
• W2133453606 hasRelatedWork W2744736957 @default.
• W2133453606 hasRelatedWork W2796588690 @default.
• W2133453606 hasRelatedWork W2963675245 @default.
• W2133453606 hasRelatedWork W4287668802 @default.
• W2133453606 isParatext "false" @default.

• next