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Persistent homology and duality : doctoral thesisKališnik Verovšek, Sara, 1986-Eden izmed večjih problemov pri preučevanju senzorskih omrežij je, da nudijo le informacijo o področju, ki ga senzorji pokrivajo. V statičnih senzorskih omrežjih klasična Aleksandrova dualnost ... zadošča kot kriterij za pokritost, ampak v mnogo omrežjih se položaj senzorjev spreminja s časom in ta izrek ni dovolj. V primeru dinamičnih senzorskih omrežij sta območji pokritosti in nepokritosti parametrizirana prostora glede na čas. Parametrizirana homologijaje različica cikcak vztrajne homologije, ki meri, kako se homologijanivojnic prostora spreminja, če spreminjamo parameter. V disertaciji predstavimo parametrizirane ekvivalente nekaj različic klasične Aleksandrove dualnosti. Parametrizirana Aleksandrova dualnost nam tudi pomaga pri razumevanju 'problema vsiljivca'.Type of material - dissertation ; adult, seriousPublication and manufacture - Ljubljana : [S. Kališnik], 2013Language - englishCOBISS.SI-ID - 16756057
Link(s):
http://www.matknjiz.si/doktorati/2013/Kalisnik-14521-4.pdf
Repository of the University of Ljubljana – RUL
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Author
Kališnik Verovšek, Sara, 1986-
Other authors
Smrekar, Jaka |
Repovš, Dušan, 1954-
Topics
Aleksandrova dualnost |
vztrajna homologija |
cikcak vztrajnost |
cikcak vztrajnost za nivojnice |
parametrizirana homologija |
Alexander duality |
persistent homology |
zigzag persistence |
levelset zigzag persistence |
parametrized homology
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FMF and IMFM, Mathematical Library, Ljubljana | Ljubljana | MAKLJ |
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Kališnik Verovšek, Sara, 1986- | 32025 |
Smrekar, Jaka | 21969 |
Repovš, Dušan, 1954- | 07083 |
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