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Statements

Subject Item
n2:RIV%2F67985556%3A_____%2F07%3A00098117%21RIV08-AV0-67985556
rdf:type
n17:Vysledek skos:Concept
dcterms:description
Dva polymatroidy jsou adhesivní, když je nějaký polymtroid rozšiřuje tak, že nosiče jsou v něm modulárním párem. Byly zavedeny a studovány třídy polymatroidů s adhesivními restrikcemi a samoadhesivních polymatroidů. Adhesivita byla popsána pomocí polyhedrálních kuželů. Samoadhesivní polymatroidy na čtyřprvkové množině byly popsány pomocí Zhang-Yeungových nerovností. Two polymatroids are adhesive if a polymatroid extends both in such a way that two ground sets become a modular pair. Motivated by entropy functions, the class of polymatroids with adhesive restrictions and a class of selfadhesive polymatroids are introduced and studied. Adhesivity is described by polyhedral cones of rank functions and defining inequalities of the cones are identified, among them known and new non-Shannon type information inequalities for entropy functions. The selfadhesive polymatroids on a four-element set are characterized by Zhang-Yeung inequalities. Two polymatroids are adhesive if a polymatroid extends both in such a way that two ground sets become a modular pair. Motivated by entropy functions, the class of polymatroids with adhesive restrictions and a class of selfadhesive polymatroids are introduced and studied. Adhesivity is described by polyhedral cones of rank functions and defining inequalities of the cones are identified, among them known and new non-Shannon type information inequalities for entropy functions. The selfadhesive polymatroids on a four-element set are characterized by Zhang-Yeung inequalities.
dcterms:title
Adhesivity of polymatroids Adhesivity of polymatroids Adhesivita polymatroidov
skos:prefLabel
Adhesivity of polymatroids Adhesivita polymatroidov Adhesivity of polymatroids
skos:notation
RIV/67985556:_____/07:00098117!RIV08-AV0-67985556
n3:strany
2464;2477
n3:aktivita
n8:P n8:Z
n3:aktivity
P(IAA100750603), Z(AV0Z10750506)
n3:cisloPeriodika
21
n3:dodaniDat
n9:2008
n3:domaciTvurceVysledku
n15:6571336
n3:druhVysledku
n4:J
n3:duvernostUdaju
n18:S
n3:entitaPredkladatele
n16:predkladatel
n3:idSjednocenehoVysledku
408580
n3:idVysledku
RIV/67985556:_____/07:00098117
n3:jazykVysledku
n10:eng
n3:klicovaSlova
polymatroid; matroid; modular pair; proper amalgam; pasting; entropy function; non-Shannon information theoretical inequality
n3:klicoveSlovo
n6:matroid n6:pasting n6:polymatroid n6:entropy%20function n6:proper%20amalgam n6:non-Shannon%20information%20theoretical%20inequality n6:modular%20pair
n3:kodStatuVydavatele
NL - Nizozemsko
n3:kontrolniKodProRIV
[3F52831C08B9]
n3:nazevZdroje
Discrete Mathematics
n3:obor
n13:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
1
n3:projekt
n14:IAA100750603
n3:rokUplatneniVysledku
n9:2007
n3:svazekPeriodika
307
n3:tvurceVysledku
Matúš, František
n3:zamer
n12:AV0Z10750506
s:issn
0012-365X
s:numberOfPages
14