Miloš Trujić

photo of milos trujic at eth

ETH Zürich
Miloš Trujić
Institut für Theoretische Informatik
CAB G 33.2
Universitätstrasse 6
8092 Zürich

Phone: +41 44 632 73 39

I am a fourth year PhD student in Computer Science at ETH Zürich. My adviser is Professor Angelika Steger. Prior to this I received my Master's degree from ETH Zürich in 2016 and my Bachelor's degree from University of Novi Sad in 2014. My research interests include, but are not limited to, probabilistic and extremal combinatorics, graph theory, random graph theory, and random discrete structures.



Blow-up lemma for cycles in sparse random graphs
submitted November 2021

The size-Ramsey number of cubic graphs
(joint with D. Conlon and R. Nenadov)
submitted October 2021

The chromatic number of dense random block graphs
(joint with A. Martinsson, K. Panagiotou, and P. Su)
submitted July 2020

Accepted publications


Covering cycles in sparse graphs
(joint with F. Mousset and N. Škorić)
to appear in Random Structures & Algorithms

Triangle resilience of the square of a Hamilton cycle in random graphs
(joint with M. Fischer, N. Škorić, and A. Steger)
to appear in Journal of Combinatorial Theory, Series B

Sprinkling a few random edges doubles the power
(joint with R. Nenadov)
SIAM Journal on Discrete Mathematics 35, 988-1004


An optimal decentralized (Δ+1)-coloring algorithm
(joint with D. Bertschinger, J. Lengler, A. Martinsson, R. Meier, A. Steger, and E. Welzl)
28th Annual European Symposium on Algorithms (ESA 2020)


The edge-statistics conjecture for ℓ ≪ k6/5
(joint with A. Martinsson, F. Mousset, and A. Noever)
Israel Journal of Mathematics 234, 677-690

Resilience of perfect matchings and Hamiltonicity in random graph processes
(joint with R. Nenadov and A. Steger)
Random Structures & Algorithms 54, 797-819

On resilience of connectivity in the evolution of random graphs
(joint with L. Haller)
Electronic Journal of Combinatorics 26, P2.24


Local resilience of an almost spanning k-cycle in random graphs
(joint with N. Škorić and A. Steger)
Random Structures & Algorithms 53, 728-751


July 2019 RS&A 2019, ETH Zurich, Zurich
May 2019 CoG 2019, Moscow Institute of Physics and Technology, Moscow
March 2018 SLADIM+, University of Novi Sad, Novi Sad
July 2017 NSFOCS 2017, University of Novi Sad, Novi Sad
August 2017 RS&A 2017, Institute of European Culture, Gniezno