Alexander Gavrilyuk
I am a JSPS Postdoctoral Fellow working with Akihiro Munemasa at GSIS, Tohoku University, Japan.

I also work at Department of Algebra and Topology of N.N. Krasovsky Institute of Mathematics and Mechanics UB RAS, Yekaterinburg, Russia.

You might be interested in my CV pdf.

Research

My main research interests are in algebraic combinatorics: distance-regular graphs (and graph theory in general), finite geometry, design theory.

Below you can find some selected papers (see CV for all publications), a list of current projects and pdf-slides of some talks.

Selected papers
On Krein graphs without triangles pdf
with Alexander Makhnev
Doklady Mathematics (2005), no. 72, 591-594
Distance-regular graphs with intersection arrays  {52,35,16;1,4,28}  and  {69,48,24;1,4,46}  do not exist pdf
with Alexander Makhnev
Designs, Codes and Cryptography. 65 (2012), no. 1-2, 49–54
On perfect 2-colorings of Johnson graphs J(v,3) pdf
with Sergey Goryainov
Journal of Combinatorial Designs. 21 (2013), no. 6, 232–252
Cameron-Liebler line classes in PG(n,4) pdf
with Ivan Mogilnykh
Designs, Codes and Cryptography (accepted)
A modular equality for Cameron-Liebler line classes pdf
with Klaus Metsch
Journal of Combinatorial Theory, Series A (accepted)
Work in progress
The distance-regular graphs without 4-claws
with Sejeong Bang and Jack Koolen
The Terwilliger polynomial of a Q-polynomial distance-regular graph and its application to pseudo-partition graphs
with Jack Koolen
submitted
A note on Q-polynomial distance-regular graphs of type 2
with Jack Koolen
On a characterization of the bilinear forms graphs by their intersection arrays
with Jack Koolen
On a characterization of the Grassmann graphs by their intersection arrays
with Jack Koolen
2-Walk-regular graphs with second largest eigenvalue equal to b_1-1
with Jack Koolen and Jongyook Park
Some new non-regular graphs with 3 distinct eigenvalues
with Gary Greaves
Completely regular codes with strength one in Johnson graphs J(v,3)
with Sergey Goryainov and Ivan Mogilnykh
On Deza graphs with 4 distinct eigenvalues
Some Talks
2014
On a Characterization of the Grassmann graphs slides, pdf
Modern Trends in Algebraic Graph Theory (Villanova University, USA)
2014
On Q-polynomial distance-regular graphs of type 2 slides, pdf
Japan Conference on Graph Theory and Combinatorics (Nihon University, Japan)
2014
On a Characterization of the Bilinear Forms Graphs slides, pdf
Korea-Japan Workshop on Algebra and Combinatorics (KAIST, South Korea)
2013
Cameron-Liebler line classes slides, pdf
Seminar (Tohoku University, Japan)
2012
Perfect 2-colorings of Johnson graphs J(v,3) slides, pdf
Incidence Geometry and Buildings (Ghent University, Belgium)
2011
There exist no distance-regular graphs with intersection arrays {45,30,7;1,2,27} or {52,35,16;1,4,28} slides, pdf
Geometric and Algebraic Combinatorics (GAC) (Oisterwijk, the Netherlands)