We prove several versions of Alon's necklace-splitting theorem, subject to additional
constraints, as illustrated by the following results.(1) The “almost equicardinal necklace …

We prove that the symmetrized deleted join SymmDelJoin (KK) of a “balanced family” KK=<
K i> i= 1 r of collectively r-unavoidable subcomplexes of 2 m is (m− r− 1)-connected. As a …

We introduce and study Alexander r-tuples K=‹ Ki› ri= 1 of simplicial complexes, as a
common generalization of pairs of Alexander dual complexes (Alexander 2-tuples) and r …

Simplicial complexes K, in relation to their Alexander dual ̂K, can be classified as self-dual
(K= ̂K), sub-dual (K⊆ ̂K), super-dual (K⊇ ̂K), or transcendent (neither sub-dual nor …

The partition number $\pi (K) $ of a simplicial complex $ K\subset 2^{[m]} $ is the minimum
integer $\nu $ such that for each partition $ A_1\uplus\ldots\uplus A_\nu=[m] $ of $[m] $ at …

The partition number π (K) of a simplicial complex K⊆ 2 [m] is the minimum integer ν such
that for each partition A1⊎...⊎ Aν=[m] of [m] at least one of the sets Ai is in K. A complex K is r …

КОМБИНАТОРНА ТОПОЛОГИЈА И ГРАФОВСКИ КОМПЛЕКСИ Page 1 УНИВЕРЗИТЕТ У
БЕОГРАДУ МАТЕМАТИЧКИ ФАКУЛТЕТ Марија Јелић Милутиновић КОМБИНАТОРНА …

In this dissertation we examine several important objects and concepts in
combinatorialtopology, using both combinatorial and topological methods. The matching …

AUTO-DUALNI SIMPLICIJALNI KOMPLEKSI, WIHOVA GENERALIZACIJA I PRIMENE U
KOMBINATORICI I GEOMETRIJI Page 1 UNIVERZITET U BEOGRADU MATEMATI^KI …

Doktorant Timotijevi} Marinko je upisao doktorske studije Topologije {kolske 2012/2013 na
Matemati~ kom fakultetu Univerziteta u Beogradu. Tokom studija, poloio je predmete …