| dc.contributor.advisor | Gregor, Petr | |
| dc.creator | Měkuta, Kryštof | |
| dc.date.accessioned | 2017-05-07T19:42:40Z | |
| dc.date.available | 2017-05-07T19:42:40Z | |
| dc.date.issued | 2012 | |
| dc.identifier.uri | http://hdl.handle.net/20.500.11956/45991 | |
| dc.description.abstract | ◆á③❡✈ ♣rá❝❡✿ ❘♦③❦❧❛❞② ♣r♦♣♦❥♦✈❛❝í❝❤ sítí ♥❛ ❞❧♦✉❤é ❝❡st② ❆✉t♦r✿ ❑r②➨t♦❢ ▼➙❦✉t❛ ❑❛t❡❞r❛✿ ❑❛t❡❞r❛ t❡♦r❡t✐❝❦é ✐♥❢♦r♠❛t✐❦② ❛ ♠❛t❡♠❛t✐❝❦é ❧♦❣✐❦② ❱❡❞♦✉❝í ❜❛❦❛❧á➦s❦é ♣rá❝❡✿ ▼❣r✳ P❡tr ●r❡❣♦r✱ P❤✳❉✳✱ ❑❚■▼▲ ❆❜str❛❦t✿ ❱ tét♦ ♣rá❝✐ ❥s♦✉ s❤r♥✉t② ✈❧❛st♥♦st✐ ✈②❜r❛♥ý❝❤ ♣r♦♣♦❥♦✈❛❝í❝❤ sítí✱ ❥✐♠✐➸ ❥s♦✉ ♠♦❞✐✜❦❛❝❡ ❤②♣❡r❦r②❝❤❧❡✳ ❑♦♥❦rét♥➙ st✉❞✉❥❡♠❡ t♦❧❡r❛♥❝✐ ❦ ❝❤②❜á♠ ✈ t③✈✳ ❛✉❣♠❡♥t♦✈❛♥ý❝❤ ❦r②❝❤❧í❝❤ s ♦❤❧❡❞❡♠ ♥❛ ❡①✐st❡♥❝✐ ❤❛♠✐❧t♦♥♦✈s❦ý❝❤ ❦r✉➸♥✐❝✳ ❚❛❦é ♣➦❡❞✈❡❞❡♠❡ ♠❡t♦❞✉ ♣♦✉➸í✈❛❥í❝í ❥❡❞♥♦❞✉❝❤é ♣r♦st➦❡❞❦② ❧✐♥❡ár♥í ❛❧❣❡❜r②✱ ♣♦♠♦❝í ❦t❡ré ❧③❡ ③❦♦♥str✉♦✈❛t ✈❡❧❦é ♠♥♦➸st✈í ♣♦❞❣r❛❢➲ n✲❞✐♠❡♥③✐♦♥á❧♥í ❛✉❣♠❡♥t♦✈❛♥é ❦r②❝❤❧❡ AQn ✐③♦♠♦r❢♥í❝❤ n✲❞✐♠❡♥③✐♦♥á❧♥í ❤②♣❡r❦r②❝❤❧✐ Qn✳ ❉♦❦á➸❡♠❡✱ ➸❡ AQn s f ✈❛❞♥ý♠✐ ❤r❛♥❛♠✐ ♦❜s❛❤✉❥❡ ❦♦♣✐✐ Qn s ♥❡❥✈ý➨❡ n 2n−1 f ✈❛❞♥ý♠✐ ❤r❛♥❛♠✐✳ P♦♠♦❝í t♦❤♦t♦ ✈ýs❧❡❞❦✉ ❥s♠❡ s❝❤♦♣♥✐ ♥➙❦t❡ré ✈❧❛st♥♦st✐ Qn s ✈❛❞♥ý♠✐ ❤r❛♥❛♠✐ ♣➦❡♥ést ♥❛ AQn s ✭✈í❝❡✮ ✈❛❞♥ý♠✐ ❤r❛♥❛♠✐✳ P♦❞♦❜♥ý♠ ③♣➲s♦❜❡♠ t❛❦é ❞♦❦á➸❡♠❡✱ ➸❡ ❥❡st❧✐➸❡ f ≤ 3n − 7 ❛ ❦❛➸❞ý ✈r❝❤♦❧ AQn s♦✉s❡❞í ❛s♣♦➡ s❡ ❞✈➙♠❛ ③❞r❛✈ý♠✐ ❤r❛♥❛♠✐✱ ♣❛❦ AQn ♦❜s❛❤✉❥❡ ❤❛♠✐❧t♦♥♦✈s❦♦✉ ❦r✉➸♥✐❝✐ t✈♦➦❡♥♦✉ ♣♦✉③❡ ③❞r❛✈ý♠✐ ❤r❛♥❛♠✐✳ ◆❛✈í❝ ❞♦❦á➸❡♠❡✱ ➸❡ ❦❛➸❞é ❞✈❛ ♠♦♥♦♠♦r✜s♠② G1 ❞♦ AQn ❛ G2 ❞♦ AQm ❧③❡ s❧♦➸✐t ♥❛ ♠♦♥♦♠♦r✜s♠✉s ❦❛rté③s❦é❤♦ s♦✉↔✐♥✉ G1 G2 ❞♦ AQn+m✳ ❑❧í↔♦✈á s❧♦✈❛✿ ❤②♣❡r❦r②❝❤❧❡✱ ❛✉❣♠❡♥t❡❞ ❝✉❜❡✱ ❤❛♠✐❧t♦♥♦✈s❦é ❦r✉➸♥✐❝❡✱ ✈❛❞♥é ❤r❛✲ ♥② | cs_CZ |
| dc.description.abstract | ❚✐t❧❡✿ P❛rt✐t✐♦♥s ♦❢ ✐♥t❡r❝♦♥♥❡❝t✐♦♥ ♥❡t✇♦r❦s ✐♥t♦ ❧♦♥❣ ♣❛t❤s ❆✉t❤♦r✿ ❑r②➨t♦❢ ▼➙❦✉t❛ ❉❡♣❛rt♠❡♥t✿ ❉❡♣❛rt♠❡♥t ♦❢ ❚❤❡♦r❡t✐❝❛❧ ❈♦♠♣✉t❡r ❙❝✐❡♥❝❡ ❛♥❞ ▼❛t❤❡♠❛t✐❝❛❧ ▲♦❣✐❝ ❙✉♣❡r✈✐s♦r✿ ▼❣r✳ P❡tr ●r❡❣♦r✱ P❤✳❉✳✱ ❑❚■▼▲ ❆❜str❛❝t✿ ❲❡ s✉r✈❡② s♦♠❡ ❜❛s✐❝ ♣r♦♣❡rt✐❡s ♦❢ s❡❧❡❝t❡❞ ✐♥t❡r❝♦♥♥❡❝t✐♦♥ ♥❡t✇♦r❦s✱ ♠♦r❡ ♣r❡❝✐s❡❧② ♠♦❞✐✜❝❛t✐♦♥s ♦❢ ❤②♣❡r❝✉❜❡s✳ ■♥ ♣❛rt✐❝✉❧❛r✱ ✇❡ st✉❞② ❢❛✉❧t✲t♦❧❡r❛♥❝❡ ♦❢ ❛✉❣♠❡♥t❡❞ ❝✉❜❡s ✇✐t❤ r❡s♣❡❝t t♦ t❤❡ ❡①✐st❡♥❝❡ ♦❢ ❍❛♠✐❧t♦♥✐❛♥ ❝②❝❧❡s✳ ❲❡ ❛❧✲ s♦ ♣r❡s❡♥t ❛ ♠❡t❤♦❞ t♦ ❝♦♥str✉❝t ♠❛♥② s♣❛♥♥✐♥❣ s✉❜❣r❛♣❤s ♦❢ AQn ✐s♦♠♦r♣❤✐❝ t♦ Qn ✉s✐♥❣ ❡❧❡♠❡♥t❛r② ❢❛❝ts ❢r♦♠ ❧✐♥❡❛r ❛❧❣❡❜r❛✳ ❲❡ ♣r♦✈❡ t❤❛t n✲❞✐♠❡♥s✐♦♥❛❧ ❛✉❣♠❡♥t❡❞ ❝✉❜❡ AQn ✇✐t❤ f ❢❛✉❧t② ❡❞❣❡s ❝♦♥t❛✐♥s ❛ ❝♦♣② ♦❢ n✲❞✐♠❡♥s✐♦♥❛❧ ❤②♣❡r✲ ❝✉❜❡ Qn ✇✐t❤ ❛t ♠♦st n 2n−1 f ❢❛✉❧t② ❡❞❣❡s✳ ❯s✐♥❣ t❤✐s r❡s✉❧t ✇❡ ❛r❡ ❛❜❧❡ t♦ ❡❛s✐❧② tr❛♥s❢❡r s❡✈❡r❛❧ ♣r♦♣❡rt✐❡s ♦❢ Qn ✇✐t❤ ❢❛✉❧t② ❡❞❣❡s t♦ AQn ✇✐t❤ ✭♠♦r❡✮ ❢❛✉❧t② ❡❞❣❡s✳ ❆♣♣❧②✐♥❣ s✐♠✐❧❛r ♠❡t❤♦❞✱ ✇❡ ❛❧s♦ s❤♦✇ t❤❛t ✐❢ f ≤ 3n−7 ❛♥❞ ❡✈❡r② ✈❡rt❡① ♦❢ AQn ✐s ✐♥❝✐❞❡♥t t♦ ❛t ❧❡❛st t✇♦ ♥♦♥✲❢❛✉❧t② ❡❞❣❡s✱ t❤❡♥ AQn ❤❛s ❛ ♥♦♥✲❢❛✉❧t② ❤❛♠✐❧t♦♥✐❛♥ ❝②❝❧❡✳ ▼♦r❡♦✈❡r✱ ✇❡ s❤♦✇ t❤❛t ❡✈❡r② t✇♦ ♠♦♥♦♠♦r♣❤✐s♠s ♦❢ G1 t♦ AQn ❛♥❞ G2 t♦ AQm ❝❛♥ ❜❡ ❝♦♠♣♦s❡❞ ✐♥t♦ ❛ ♠♦♥♦♠♦r♣❤✐s♠ ♦❢ t❤❡ ❈❛rt❡s✐❛♥ ♣r♦❞✉❝t G1 G2 t♦ AQn+m✳ ❑❡②✇♦r❞s✿ ❤②♣❡r❝✉❜❡✱ ❛✉❣♠❡♥t❡❞ ❝✉❜❡✱ ❤❛♠✐❧t♦♥✐❝✐t②✱ ❢❛✉❧t② ❡❞❣❡s | en_US |
| dc.language | English | cs_CZ |
| dc.language.iso | en_US | |
| dc.publisher | Univerzita Karlova, Matematicko-fyzikální fakulta | cs_CZ |
| dc.subject | hyperkrychle | cs_CZ |
| dc.subject | augmented cube | cs_CZ |
| dc.subject | hamiltonovské kružnice | cs_CZ |
| dc.subject | vadné hrany | cs_CZ |
| dc.subject | hypercube | en_US |
| dc.subject | augmented cube | en_US |
| dc.subject | hamiltonicity | en_US |
| dc.subject | faulty edges | en_US |
| dc.title | Rozklady propojovacích sítí na dlouhé cesty | en_US |
| dc.type | bakalářská práce | cs_CZ |
| dcterms.created | 2012 | |
| dcterms.dateAccepted | 2012-06-18 | |
| dc.description.department | Department of Theoretical Computer Science and Mathematical Logic | en_US |
| dc.description.department | Katedra teoretické informatiky a matematické logiky | cs_CZ |
| dc.description.faculty | Faculty of Mathematics and Physics | en_US |
| dc.description.faculty | Matematicko-fyzikální fakulta | cs_CZ |
| dc.identifier.repId | 77217 | |
| dc.title.translated | Rozklady propojovacích sítí na dlouhé cesty | cs_CZ |
| dc.contributor.referee | Dvořák, Tomáš | |
| dc.identifier.aleph | 001479821 | |
| thesis.degree.name | Bc. | |
| thesis.degree.level | bakalářské | cs_CZ |
| thesis.degree.discipline | General Computer Science | en_US |
| thesis.degree.discipline | Obecná informatika | cs_CZ |
| thesis.degree.program | Computer Science | en_US |
| thesis.degree.program | Informatika | cs_CZ |
| uk.thesis.type | bakalářská práce | cs_CZ |
| uk.taxonomy.organization-cs | Matematicko-fyzikální fakulta::Katedra teoretické informatiky a matematické logiky | cs_CZ |
| uk.taxonomy.organization-en | Faculty of Mathematics and Physics::Department of Theoretical Computer Science and Mathematical Logic | en_US |
| uk.faculty-name.cs | Matematicko-fyzikální fakulta | cs_CZ |
| uk.faculty-name.en | Faculty of Mathematics and Physics | en_US |
| uk.faculty-abbr.cs | MFF | cs_CZ |
| uk.degree-discipline.cs | Obecná informatika | cs_CZ |
| uk.degree-discipline.en | General Computer Science | en_US |
| uk.degree-program.cs | Informatika | cs_CZ |
| uk.degree-program.en | Computer Science | en_US |
| thesis.grade.cs | Výborně | cs_CZ |
| thesis.grade.en | Excellent | en_US |
| uk.abstract.cs | ◆á③❡✈ ♣rá❝❡✿ ❘♦③❦❧❛❞② ♣r♦♣♦❥♦✈❛❝í❝❤ sítí ♥❛ ❞❧♦✉❤é ❝❡st② ❆✉t♦r✿ ❑r②➨t♦❢ ▼➙❦✉t❛ ❑❛t❡❞r❛✿ ❑❛t❡❞r❛ t❡♦r❡t✐❝❦é ✐♥❢♦r♠❛t✐❦② ❛ ♠❛t❡♠❛t✐❝❦é ❧♦❣✐❦② ❱❡❞♦✉❝í ❜❛❦❛❧á➦s❦é ♣rá❝❡✿ ▼❣r✳ P❡tr ●r❡❣♦r✱ P❤✳❉✳✱ ❑❚■▼▲ ❆❜str❛❦t✿ ❱ tét♦ ♣rá❝✐ ❥s♦✉ s❤r♥✉t② ✈❧❛st♥♦st✐ ✈②❜r❛♥ý❝❤ ♣r♦♣♦❥♦✈❛❝í❝❤ sítí✱ ❥✐♠✐➸ ❥s♦✉ ♠♦❞✐✜❦❛❝❡ ❤②♣❡r❦r②❝❤❧❡✳ ❑♦♥❦rét♥➙ st✉❞✉❥❡♠❡ t♦❧❡r❛♥❝✐ ❦ ❝❤②❜á♠ ✈ t③✈✳ ❛✉❣♠❡♥t♦✈❛♥ý❝❤ ❦r②❝❤❧í❝❤ s ♦❤❧❡❞❡♠ ♥❛ ❡①✐st❡♥❝✐ ❤❛♠✐❧t♦♥♦✈s❦ý❝❤ ❦r✉➸♥✐❝✳ ❚❛❦é ♣➦❡❞✈❡❞❡♠❡ ♠❡t♦❞✉ ♣♦✉➸í✈❛❥í❝í ❥❡❞♥♦❞✉❝❤é ♣r♦st➦❡❞❦② ❧✐♥❡ár♥í ❛❧❣❡❜r②✱ ♣♦♠♦❝í ❦t❡ré ❧③❡ ③❦♦♥str✉♦✈❛t ✈❡❧❦é ♠♥♦➸st✈í ♣♦❞❣r❛❢➲ n✲❞✐♠❡♥③✐♦♥á❧♥í ❛✉❣♠❡♥t♦✈❛♥é ❦r②❝❤❧❡ AQn ✐③♦♠♦r❢♥í❝❤ n✲❞✐♠❡♥③✐♦♥á❧♥í ❤②♣❡r❦r②❝❤❧✐ Qn✳ ❉♦❦á➸❡♠❡✱ ➸❡ AQn s f ✈❛❞♥ý♠✐ ❤r❛♥❛♠✐ ♦❜s❛❤✉❥❡ ❦♦♣✐✐ Qn s ♥❡❥✈ý➨❡ n 2n−1 f ✈❛❞♥ý♠✐ ❤r❛♥❛♠✐✳ P♦♠♦❝í t♦❤♦t♦ ✈ýs❧❡❞❦✉ ❥s♠❡ s❝❤♦♣♥✐ ♥➙❦t❡ré ✈❧❛st♥♦st✐ Qn s ✈❛❞♥ý♠✐ ❤r❛♥❛♠✐ ♣➦❡♥ést ♥❛ AQn s ✭✈í❝❡✮ ✈❛❞♥ý♠✐ ❤r❛♥❛♠✐✳ P♦❞♦❜♥ý♠ ③♣➲s♦❜❡♠ t❛❦é ❞♦❦á➸❡♠❡✱ ➸❡ ❥❡st❧✐➸❡ f ≤ 3n − 7 ❛ ❦❛➸❞ý ✈r❝❤♦❧ AQn s♦✉s❡❞í ❛s♣♦➡ s❡ ❞✈➙♠❛ ③❞r❛✈ý♠✐ ❤r❛♥❛♠✐✱ ♣❛❦ AQn ♦❜s❛❤✉❥❡ ❤❛♠✐❧t♦♥♦✈s❦♦✉ ❦r✉➸♥✐❝✐ t✈♦➦❡♥♦✉ ♣♦✉③❡ ③❞r❛✈ý♠✐ ❤r❛♥❛♠✐✳ ◆❛✈í❝ ❞♦❦á➸❡♠❡✱ ➸❡ ❦❛➸❞é ❞✈❛ ♠♦♥♦♠♦r✜s♠② G1 ❞♦ AQn ❛ G2 ❞♦ AQm ❧③❡ s❧♦➸✐t ♥❛ ♠♦♥♦♠♦r✜s♠✉s ❦❛rté③s❦é❤♦ s♦✉↔✐♥✉ G1 G2 ❞♦ AQn+m✳ ❑❧í↔♦✈á s❧♦✈❛✿ ❤②♣❡r❦r②❝❤❧❡✱ ❛✉❣♠❡♥t❡❞ ❝✉❜❡✱ ❤❛♠✐❧t♦♥♦✈s❦é ❦r✉➸♥✐❝❡✱ ✈❛❞♥é ❤r❛✲ ♥② | cs_CZ |
| uk.abstract.en | ❚✐t❧❡✿ P❛rt✐t✐♦♥s ♦❢ ✐♥t❡r❝♦♥♥❡❝t✐♦♥ ♥❡t✇♦r❦s ✐♥t♦ ❧♦♥❣ ♣❛t❤s ❆✉t❤♦r✿ ❑r②➨t♦❢ ▼➙❦✉t❛ ❉❡♣❛rt♠❡♥t✿ ❉❡♣❛rt♠❡♥t ♦❢ ❚❤❡♦r❡t✐❝❛❧ ❈♦♠♣✉t❡r ❙❝✐❡♥❝❡ ❛♥❞ ▼❛t❤❡♠❛t✐❝❛❧ ▲♦❣✐❝ ❙✉♣❡r✈✐s♦r✿ ▼❣r✳ P❡tr ●r❡❣♦r✱ P❤✳❉✳✱ ❑❚■▼▲ ❆❜str❛❝t✿ ❲❡ s✉r✈❡② s♦♠❡ ❜❛s✐❝ ♣r♦♣❡rt✐❡s ♦❢ s❡❧❡❝t❡❞ ✐♥t❡r❝♦♥♥❡❝t✐♦♥ ♥❡t✇♦r❦s✱ ♠♦r❡ ♣r❡❝✐s❡❧② ♠♦❞✐✜❝❛t✐♦♥s ♦❢ ❤②♣❡r❝✉❜❡s✳ ■♥ ♣❛rt✐❝✉❧❛r✱ ✇❡ st✉❞② ❢❛✉❧t✲t♦❧❡r❛♥❝❡ ♦❢ ❛✉❣♠❡♥t❡❞ ❝✉❜❡s ✇✐t❤ r❡s♣❡❝t t♦ t❤❡ ❡①✐st❡♥❝❡ ♦❢ ❍❛♠✐❧t♦♥✐❛♥ ❝②❝❧❡s✳ ❲❡ ❛❧✲ s♦ ♣r❡s❡♥t ❛ ♠❡t❤♦❞ t♦ ❝♦♥str✉❝t ♠❛♥② s♣❛♥♥✐♥❣ s✉❜❣r❛♣❤s ♦❢ AQn ✐s♦♠♦r♣❤✐❝ t♦ Qn ✉s✐♥❣ ❡❧❡♠❡♥t❛r② ❢❛❝ts ❢r♦♠ ❧✐♥❡❛r ❛❧❣❡❜r❛✳ ❲❡ ♣r♦✈❡ t❤❛t n✲❞✐♠❡♥s✐♦♥❛❧ ❛✉❣♠❡♥t❡❞ ❝✉❜❡ AQn ✇✐t❤ f ❢❛✉❧t② ❡❞❣❡s ❝♦♥t❛✐♥s ❛ ❝♦♣② ♦❢ n✲❞✐♠❡♥s✐♦♥❛❧ ❤②♣❡r✲ ❝✉❜❡ Qn ✇✐t❤ ❛t ♠♦st n 2n−1 f ❢❛✉❧t② ❡❞❣❡s✳ ❯s✐♥❣ t❤✐s r❡s✉❧t ✇❡ ❛r❡ ❛❜❧❡ t♦ ❡❛s✐❧② tr❛♥s❢❡r s❡✈❡r❛❧ ♣r♦♣❡rt✐❡s ♦❢ Qn ✇✐t❤ ❢❛✉❧t② ❡❞❣❡s t♦ AQn ✇✐t❤ ✭♠♦r❡✮ ❢❛✉❧t② ❡❞❣❡s✳ ❆♣♣❧②✐♥❣ s✐♠✐❧❛r ♠❡t❤♦❞✱ ✇❡ ❛❧s♦ s❤♦✇ t❤❛t ✐❢ f ≤ 3n−7 ❛♥❞ ❡✈❡r② ✈❡rt❡① ♦❢ AQn ✐s ✐♥❝✐❞❡♥t t♦ ❛t ❧❡❛st t✇♦ ♥♦♥✲❢❛✉❧t② ❡❞❣❡s✱ t❤❡♥ AQn ❤❛s ❛ ♥♦♥✲❢❛✉❧t② ❤❛♠✐❧t♦♥✐❛♥ ❝②❝❧❡✳ ▼♦r❡♦✈❡r✱ ✇❡ s❤♦✇ t❤❛t ❡✈❡r② t✇♦ ♠♦♥♦♠♦r♣❤✐s♠s ♦❢ G1 t♦ AQn ❛♥❞ G2 t♦ AQm ❝❛♥ ❜❡ ❝♦♠♣♦s❡❞ ✐♥t♦ ❛ ♠♦♥♦♠♦r♣❤✐s♠ ♦❢ t❤❡ ❈❛rt❡s✐❛♥ ♣r♦❞✉❝t G1 G2 t♦ AQn+m✳ ❑❡②✇♦r❞s✿ ❤②♣❡r❝✉❜❡✱ ❛✉❣♠❡♥t❡❞ ❝✉❜❡✱ ❤❛♠✐❧t♦♥✐❝✐t②✱ ❢❛✉❧t② ❡❞❣❡s | en_US |
| uk.publication.place | Praha | cs_CZ |
| uk.grantor | Univerzita Karlova, Matematicko-fyzikální fakulta, Katedra teoretické informatiky a matematické logiky | cs_CZ |
| dc.identifier.lisID | 990014798210106986 | |
