Krovne tehnike v teoriji grafov : disertacija

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Krovne tehnike v teoriji grafov : disertacija

Malnič, Aleksander

Prvi del disertacije je posvečen problemu dviga avtomorfizmov topološkega prostora do avtomorfizmov krovnega prostora. Obravnava je kombinatorična - s tem da se homotopskim razredom poti priredijo ... napetosti, se problem prevede na študij delovanja napetostne grupe na abstraktnem vlaknu. V ta namen je bilo potrebno dokazati nekaj osnovnih trditev v zvezi z abstraktnim delovanjem grup, ki omogočajo tudi analizo strukture dvigov grup. Podani so nekateri zadostni pogoji za to, da je dvig grupe razcepna razširitev grupe krovnih transformacij. Za regularne krove in polregularne grupe so ti pogoji tudi potrebni. Uporaba nekaterih trditev je prikazana na primeru krovov nad polnimi grafi. V drugem delu je dokazan izrek o končnosti nekega posebnega razreda triangulacij poljubne sklenjene ploskve. Od tod sledi elementaren dokaz naslednje trditve, ki je sicer posledica Robertsonovega in Seymourjevega izreka o minorjih: za vsako sklenjeno ploskvev je takih vložitev grafov z dano celično širino, ki so skrčitveno minimalne, končno mnogo (od homeomorfizma vložitev natanko). Dokaz glavnega izreka se opira na neko lemo o separacijskih lastnostih enostavnih sklenjenih krivulj na kompaktnih ploskvah; to pomožno trditev se dokaže s pomočjo krovnih tehnik.

Type of material - dissertation

Publication and manufacture - Ljubljana : [A. Malnič], 1996

Language - slovenian

COBISS.SI-ID - 6756185

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Availability in libraries

Library/institution	City	Acronym	For loan
Central Technological Library of the University of Ljubljana	Ljubljana	CTK	outside loan 1 cop.
FMF and IMFM, Mathematical Library, Ljubljana	Ljubljana	MAKLJ	reading room 1 cop.
National and University Library, Ljubljana	Ljubljana	NUK	reading room 1 cop.
University of Maribor Library	Maribor	UKM	reading room 1 cop.
University of Primorska University Library	Koper - Capodistria	UPUK	reading room 1 cop.

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Year	Impact factor		Edition		Category		Classification
Year	JCR	SNIP	JCR	SNIP	JCR	SNIP	JCR	SNIP

Links to authors' personal bibliographies	Links to information on researchers in the SICRIS system
Malnič, Aleksander	02507
Marušič, Dragan	02887

Source: Personal bibliographies and: SICRIS

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