Asymptotic enumeration of sparse nonnegative integer matrices with specified row and column sums

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dc.contributor.authorGreenhill, Catherine
dc.contributor.authorMcKay, Brendan
dc.date.accessioned2015-12-10T21:54:46Z
dc.date.issued2008
dc.date.updated2015-12-09T07:28:42Z
dc.description.abstractLet s = (s1, ..., sm) and t = (t1, ..., tn) be vectors of nonnegative integer-valued functions of m, n with equal sum S = ∑i = 1m si = ∑j = 1n tj. Let M (s, t) be the number of m × n matrices with nonnegative integer entries such that the ith row has
dc.identifier.issn0196-8858
dc.identifier.urihttp://hdl.handle.net/1885/39073
dc.publisherElsevier
dc.sourceAdvances in Applied Mathematics
dc.subjectKeywords: Asymptotic enumeration; Column sums; Contingency tables; Non-negative integer matrices; Non-negative integers; Switchings; Matrix algebra Asymptotic enumeration; Contingency tables; Non-negative integer matrices; Switchings
dc.titleAsymptotic enumeration of sparse nonnegative integer matrices with specified row and column sums
dc.typeJournal article
local.bibliographicCitation.issue4
local.bibliographicCitation.lastpage481
local.bibliographicCitation.startpage459
local.contributor.affiliationGreenhill, Catherine, University of New South Wales
local.contributor.affiliationMcKay, Brendan, College of Engineering and Computer Science, ANU
local.contributor.authoruidMcKay, Brendan, u8304521
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.identifier.absfor010104 - Combinatorics and Discrete Mathematics (excl. Physical Combinatorics)
local.identifier.absfor010201 - Approximation Theory and Asymptotic Methods
local.identifier.absfor010404 - Probability Theory
local.identifier.ariespublicationU3594520xPUB171
local.identifier.citationvolume41
local.identifier.doi10.1016/j.aam.2008.01.002
local.identifier.scopusID2-s2.0-52949150078
local.identifier.thomsonID000260723500001
local.type.statusPublished Version

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