Nove kombinatorne konstrukcije u vezi sa problemima iz hromatske teorije grafova, ekstremalne teorije skupova i teorije Bulovih matrica
New combinatorial constructions related to problems from the chromatic graph theory, extremal set theory and Boolean matrix theory.
Author
Vučković, Bojan M.Mentor
Živković, MiodragCommittee members
Janičić, PredragMarić, Filip
Simić, Slobodan
Metadata
Show full item recordAbstract
Disertacija prikazuje originalne rezultate iz narednih podoblasti
diskretne matematike: hromatske teorije grafova, ekstremalne teorije skupova
i teorije Bulovih matrica.
Iz hromatske teorije grafova razmatraju se bojenja grafova koja ukljucuju
bojenje grana ili totalno bojenje, sa uslovom da susedni cvorovi grafa poseduju
razlicite parametre indukovane datim bojenjem (multi-skup, skup ili
suma)...
We present original results from the following fields of discrete
mathematics: chromatic graph theory, extremal set theory and Boolean matrix
theory.
From the chromatic graph theory we investigate edge and total colorings
satisfying the condition that neighboring vertices of a graph possess different
values of multi-set, set or sum, induced by the giving coloring...
Faculty:
Универзитет у Београду, Математички факултетDate:
22-02-2018Projects:
- Development of new information and communication technologies, based on advanced mathematical methods, with applications in medicine, telecommunications, power systems, protection of national heritage and education (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-44006)