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  • 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. (cs)
  • 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. (en)
Title
  • Adhesivity of polymatroids
  • Adhesivita polymatroidov (cs)
  • Adhesivity of polymatroids (en)
skos:prefLabel
  • Adhesivity of polymatroids
  • Adhesivita polymatroidov (cs)
  • Adhesivity of polymatroids (en)
skos:notation
  • RIV/67985556:_____/07:00098117!RIV08-AV0-67985556
http://linked.open.../vavai/riv/strany
  • 2464;2477
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(IAA100750603), Z(AV0Z10750506)
http://linked.open...iv/cisloPeriodika
  • 21
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...dnocenehoVysledku
  • 408580
http://linked.open...ai/riv/idVysledku
  • RIV/67985556:_____/07:00098117
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • polymatroid; matroid; modular pair; proper amalgam; pasting; entropy function; non-Shannon information theoretical inequality (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [3F52831C08B9]
http://linked.open...i/riv/nazevZdroje
  • Discrete Mathematics
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 307
http://linked.open...iv/tvurceVysledku
  • Matúš, František
http://linked.open...n/vavai/riv/zamer
issn
  • 0012-365X
number of pages
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