Welcome! I am currently a research fellow (chercheur-visiteur) at the Mathematical Institute, University of Toulouse III (Paul Sabatier), in the research team ESP (Probability and Statistics).
I am an organizer of the Probability seminar .
2014 Sept. - 2015 Sept.: Research Fellow, LIP, ENS de Lyon.
2013 Sept. - 2014 Sept.: Research Fellow, Mathematical Institute, University of Oxford.
2012 Oct. - 2013 Sept.: Digiteo Postdoctoral researcher, Laboratoire de Recherche en Informatique (LRI), Universite
2011 Sept. - 2012 June: Postdoctoral researcher and instructor, Simon Fraser University.
2008 Sept. - 2011 June: Ph.D. in Mathematics, Simon Fraser University.
Supervisor: Bojan Mohar.
Brooks-type Theorems for Coloring of Digraphs.
2006 Sept. - 2008 Aug.: MSc. in Mathematics, McGill University.
Supervisors: Jacques Verstraete
and Dmitry Jakobson.
Thesis Title: Probabilistic Methods and Domination Related Problems in Graphs.
2003 Sept. - 2006 Aug.: BSc Honours in Mathematics, McGill University.
My research interests are in graph theory. In particular,
I am interested in structural graph theory, random graphs,
probabilistic and discharging methods
and combinatorial and randomized graph algorithms.
A. Harutyunyan, T.-N. Le, A. Newman, S. Thomassé,
Coloring dense digraphs .
N. Bousquet, L. Esperet, A. Harutyunyan, R. de Joannis de Verclos,
Exact distance coloring in trees.
, submitted to Combinatorics, Probability and Computing .
A. Harutyunyan, T.-N. Le, S. Thomassé, H. Wu,
Coloring tournaments: from local to global
, submitted to Journal of Combinatorial Theory (Ser. B)
J. Bensmail, A. Harutyunyan, N.-K. Le, B. Li, N. Lichiardopol,
Disjoint cycles of different lengths in graphs and digraphs,
submitted to Electronic Journal of Combinatorics .
J. Bensmail, A. Harutyunyan, N.-K. Le,
List coloring digraphs
, submitted to Journal of Graph Theory.
J. Bensmail, A. Harutyunyan, T.-N. Le, S. Thomassé,
Edge-partitioning a graph into paths: beyond the Barát-Thomassen conjecture
, submitted to Combinatorica
A. Harutyunyan, L. Pastor, S. Thomassé
Disproving the normal graphs conjecture
, submitted to Journal of Combinatorial Theory (Ser. B) .
- F. Foucaud, A. Harutyunyan, P. Hell, S. Legay, R. Naserasr, Y. Manoussakis,
The complexity of tropical graph homomorphisms , Discrete Applied Mathematics , to appear.
A. Harutyunyan, P. Horn, J. Verstraete,
Independent dominating sets in graphs of girth five ,Combinatorics,
Probability and Computing, accepted.
J. Bensmail, A. Harutyunyan, T.-N. Le, M. Merker, S. Thomassé,
A proof of the Barát-Thomassen conjecture , Journal of Combinatorial Theory, Ser. B 124, pp. 39 – 55, 2017.
- A. Harutyunyan, B. Mohar,
Planar digraphs of digirth five are 2-colorable , Journal of Graph Theory 84(4): 408 - 427, 2017 .
- J-A. Angles d'Auriac, N. Cohen, A. El Maftouhi, A. Harutyunyan, S. Legay, Y. Manoussakis,
Connected tropical subgraphs in vertex-colored graphs , Discrete Mathematics and Theoretical
Computer Science 17:3, pp. 327-348, 2016 .
- A. Harutyunyan, R. Naserasr, M. Petrusevski, R. Skrekovski, Q. Sun,
Mapping planar graphs into the Coxeter graph, Discrete Mathematics 339, pp. 839 - 849, 2016 .
A. Harutyunyan, S. Legay, Linear time algorithms
for weighted offensive and powerful alliances in trees
, Theoretical Computer Science 582, pp. 17 - 26, 2015 .
- A. El Maftouhi, A. Harutyunyan, Y. Manoussakis,
Weak balance in random signed graphs , Internet Mathematics 11(2), pp. 143-154, 2015.
- J. Bensmail, A. Harutyunyan, H. Hocquard, P. Valicov,
Strong-edge coloring of planar graphs , Discrete Applied Mathematics 179, pp. 229-234, 2014.
A. Harutyunyan, Global Offensive Alliances
in Graphs and Random Graphs.
, Discrete Applied Mathematics 164, pp. 522-526, 2014.
A. Harutyunyan, Some bounds on
global alliances in trees , Discrete Applied Mathematics 161, pp. 1739-1746, 2013 .
A. Harutyunyan, P.M. Kayll, B. Mohar, L. Rafferty,
Uniquely D-colorable digraphs with large girth ,
The Canadian Journal of Mathematics 64, 1310-1328, 2012.
- A. Harutyunyan, B. Mohar, Planar graphs
have exponentially many 3-arboricities , SIAM Journal on Discrete Mathematics 26(3), pp. 1269-1280, 2012.
A. Harutyunyan, B. Mohar,
Two results on the digraph chromatic number , Discrete Mathematics 312(10), pp. 1823-1826, 2012 .
A. Harutyunyan, B. Mohar, Gallai's Theorem
for List Coloring of Digraphs , SIAM Journal on Discrete Mathematics 25(1), pp. 170-180, 2011.
A. Harutyunyan, B. Mohar, Strengthened
Brooks Theorem for digraphs of girth three , The Electronic Journal of Combinatorics 18 (2011), #P195.
A. Harutyunyan, A Fast Algorithm for
Powerful Alliances in Trees
, 4th International Conference on
Combinatorial Optimization and Applications ( COCOA 2010 ), Kailua-Kona, HI, USA,
LNCS 6508 (1) 2010: 31-40.
A. Harutyunyan, Global Offensive Alliances in Graphs via
Degree Sequences , VI Latin-American Conference Algorithms, Graphs and Optimization Symposium ( LAGOS 2011 ).
A. Harutyunyan, Some Bounds on Alliances in Trees, 9th Cologne Twente Workshop on Graphs and Combinatorial Optimization
( CTW 2010 ), Cologne, Germany, 2010: 83-86.
Stéphan Thomassé ,
Conferences I will attend in 2016-2017
Advanced Mathematics for Network Analysis
, Luchon, France, May 1-4, 2016.
SIAM Conference on Discrete Mathematics
, Atlanta, USA, June 6-10, 2016.
Bordeaux Graph Workshop
, Bordeaux, France, November 7-10, 2016.
, Toronto, Canada, June 12-16, 2017.
In addition to the following courses taught as a lecturer, I have also served as a teaching
assistant for many different courses such as Graph Theory, Algebra, Linear Optimisation.
Graph Theory (First year students), Winter 2016, Supaero-Isae, Toulouse.
MACM 201 (Discrete Mathematics II), Winter 2012, SFU. Teaching Evaluation .
MATH 150 (Calculus I), Fall 2011, SFU. Teaching Evaluation .
Some slides of talks
A proof of the Barat-Thomassen Conjecture, 3rd Bordeaux Graph Workshop, Bordeaux, France, November 7-10, 2016
Colorings in planar graphs and digraphs, SIAM conference on Discrete Mathematics, Minneapolis, USA, June 16-19, 2014 Slides .
Independent dominating sets via semi-random method, Slides .
Sparsity and homomorphisms of digraphs, Slides .
Erdos number: 2 (through Pavol Hell