Alexander L. Gavrilyuk

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All published works

Action	Title	Year	Authors
+	Strongly regular graphs decomposable into a divisible design graph and a Delsarte clique	2025	Alexander L. Gavrilyuk V. V. Kabanov
+ PDF Chat	A characterization of the Grassmann graphs: one missing case	2024	Jack H. Koolen Chenhui Lv Alexander L. Gavrilyuk
+ PDF Chat	A characterization of the Grassmann graphs	2024	Alexander L. Gavrilyuk Jack H. Koolen
+ PDF Chat	Cartesian products of graphs and their coherent configurations	2024	Jinzhuan Cai Jin Guo Alexander L. Gavrilyuk Ilia Ponomarenko
+ PDF Chat	A linear programming bound for sum-rank metric codes	2024	Aida Abiad Alexander L. Gavrilyuk Antonina P. Khramova Ilia Ponomarenko
+ PDF Chat	On the Weisfeiler–Leman Dimension of Permutation Graphs	2024	Jin Guo Alexander L. Gavrilyuk Ilia Ponomarenko
+	Strongly regular graphs decomposable into a divisible design graph and a Hoffman coclique	2023	Alexander L. Gavrilyuk V. V. Kabanov
+	Uniqueness of an association scheme related to the Witt design on 11 points	2023	Alexander L. Gavrilyuk Sho Suda
+ PDF Chat	The Weisfeiler–Leman Dimension of Distance-Hereditary Graphs	2023	Alexander L. Gavrilyuk Roman Nedela Ilia Ponomarenko
+ PDF Chat	On the multiplicities of digraph eigenvalues	2023	Alexander L. Gavrilyuk Sho Suda
+	A modular equality for m$m$‐ovoids of elliptic quadrics	2023	Alexander L. Gavrilyuk Klaus Metsch Francesco Pavese
+ PDF Chat	On tight sets of hyperbolic quadrics	2023	Alexander L. Gavrilyuk
+	Uniqueness of an association scheme related to the Witt design on 11 points	2023	Alexander L. Gavrilyuk Sho Suda
+	On the Weisfeiler-Leman dimension of permutation graphs	2023	Jin Guo Alexander L. Gavrilyuk Ilia Ponomarenko
+	Strongly regular graphs decomposable into a divisible design graph and a Hoffman coclique	2023	Alexander L. Gavrilyuk V. V. Kabanov
+	A large family of strongly regular graphs with small Weisfeiler-Leman dimension	2023	Jinzhuan Cai Jin Guo Alexander L. Gavrilyuk Ilia Ponomarenko
+ PDF Chat	Maximal digraphs whose Hermitian spectral radius is at most 2	2022	Alexander L. Gavrilyuk Akihiro Munemasa
+	Equitable 2-partitions of the Johnson graphs $J(n,3)$	2022	Rhys J. Evans Alexander L. Gavrilyuk S. V. Goryaĭnov Konstantin Vorob’ev
+	A modular equality for $m$-ovoids of elliptic quadrics	2021	Alexander L. Gavrilyuk Klaus Metsch Francesco Pavese
+ PDF Chat	A modular equality for $m$-ovoids of elliptic quadrics	2021	Alexander L. Gavrilyuk Klaus Metsch Francesco Pavese
+ PDF Chat	On few-class Q-polynomial association schemes: feasible parameters and nonexistence results	2021	Alexander L. Gavrilyuk Janoš Vidali Jason Williford
+ PDF Chat	Signed analogue of line graphs and their smallest eigenvalues	2021	Alexander L. Gavrilyuk Akihiro Munemasa Yoshio Sano Tetsuji Taniguchi
+	A modular equality for $m$-ovoids of elliptic quadrics	2021	Alexander L. Gavrilyuk Klaus Metsch Francesco Pavese
+	Maximal digraphs whose Hermitian spectral radius is at most $2$	2021	Alexander L. Gavrilyuk Akihiro Munemasa
+ PDF Chat	On Tight 4-Designs in Hamming Association Schemes	2020	Alexander L. Gavrilyuk Sho Suda Janoš Vidali
+	Signed analogue of line graphs and their smallest eigenvalues	2020	Alexander L. Gavrilyuk Akihiro Munemasa Yoshio Sano Tetsuji Taniguchi
+	The Weisfeiler-Leman dimension of distance-hereditary graphs	2020	Alexander L. Gavrilyuk Roman Nedela Ilia Ponomarenko
+ PDF Chat	On some recent progress in the classification of $$(P\hbox { and }Q)$$-polynomial association schemes	2019	Alexander L. Gavrilyuk Jack H. Koolen
+	On few-class $Q$-polynomial association schemes: feasible parameters and nonexistence results	2019	Alexander L. Gavrilyuk Janoš Vidali Jason Williford
+	A Characterization of the Graphs of Bilinear (d×d)-Forms over F 2 .	2019	Alexander L. Gavrilyuk Jack H. Koolen
+	On the multiplicities of digraph eigenvalues	2019	Alexander L. Gavrilyuk Sho Suda
+	On few-class $Q$-polynomial association schemes: feasible parameters and nonexistence results	2019	Alexander L. Gavrilyuk Janoš Vidali Jason Williford
+	On tight sets of hyperbolic quadrics	2019	Alexander L. Gavrilyuk
+ PDF Chat	Equitable partitions of Latin‐square graphs	2018	R. A. Bailey Peter J‎. Cameron Alexander L. Gavrilyuk Sergey Goryainov
+ PDF Chat	Cameron-Liebler line classes in PG(3, 5): GAVRILYUKandMATKIN	2018	Alexander L. Gavrilyuk Ilia Matkin
+ PDF Chat	Cameron‐Liebler line classes in PG(3, 5)	2018	Alexander L. Gavrilyuk Ilia Matkin
+	On tight $4$-designs in Hamming association schemes	2018	Alexander L. Gavrilyuk Sho Suda Janoš Vidali
+	A Characterization of the Graphs of Bilinear (d×d)-Forms over $$\mathbb{F}_2$$	2018	Alexander L. Gavrilyuk Jack H. Koolen
+	Distance-regular graphs without 4-claws	2018	Sejeong Bang Alexander L. Gavrilyuk Jack H. Koolen
+	On a characterization of the Grassmann graphs	2018	Alexander L. Gavrilyuk Jack H. Koolen
+	Automorphisms of graphs with intersection arrays {60, 45, 8; 1, 12, 50} and {49, 36, 8; 1, 6, 42}	2017	Alexander L. Gavrilyuk A. A. Makhnëv
+ PDF Chat	Derivation of Cameron–Liebler line classes	2017	Alexander L. Gavrilyuk Ilia Matkin Tim Penttila
+	Distance-regular graphs without 4-claws	2017	Sejeong Bang Alexander L. Gavrilyuk Jack H. Koolen
+	A new infinite family of Cameron-Liebler line classes	2016	Alexander L. Gavrilyuk Ilia Matkin Tim Penttila
+	Biregular graphs with three eigenvalues	2016	Xi-Ming Cheng Alexander L. Gavrilyuk Gary R. W. Greaves Jack H. Koolen
+	A characterization of the graphs of bilinear $(d\times d)$-forms over $\mathbb{F}_2$	2015	Alexander L. Gavrilyuk Jack H. Koolen
+	On a Characterization of the Bilinear Forms Graphs $Bil_q(d times d)$ (Research on finite groups and their representations, vertex operator algebras, and algebraic combinatorics)	2014	Alexander L. Gavrilyuk Jack H. Koolen
+ PDF Chat	The Terwilliger polynomial of a Q-polynomial distance-regular graph and its application to pseudo-partition graphs	2014	Alexander L. Gavrilyuk Jack H. Koolen
+	A modular equality for Cameron–Liebler line classes	2014	Alexander L. Gavrilyuk Klaus Metsch
+	On the vertex connectivity of Deza graphs	2014	Alexander L. Gavrilyuk Sergey Goryainov V. V. Kabanov
+	The Terwilliger polynomial of a Q-polynomial distance-regular graph and its application to the pseudo-partition graphs	2014	Alexander L. Gavrilyuk Jack H. Koolen
+	The Terwilliger polynomial of a Q-polynomial distance-regular graph and its application to the pseudo-partition graphs	2014	Alexander L. Gavrilyuk Jack H. Koolen
+ PDF Chat	On distance-regular graphs in which neighborhoods of vertices are strongly regular	2013	Alexander L. Gavrilyuk A. A. Makhnëv D. V. Paduchikh
+	Cameron–Liebler line classes in $$PG(n,4)$$ PG ( n , 4 )	2013	Alexander L. Gavrilyuk I. Yu. Mogilnykh
+	On the Godsil -- Higman necessary condition for equitable partitions of association schemes	2013	Alexander L. Gavrilyuk I. Yu. Mogilnykh
+ PDF Chat	Distance-regular graph with the intersection array {45, 30, 7; 1, 2, 27} does not exist	2013	Alexander L. Gavrilyuk A. A. Makhnëv
+ PDF Chat	On Perfect 2‐Colorings of Johnson Graphs <i>J</i>(<i>v</i>, 3)	2012	Alexander L. Gavrilyuk Sergey Goryainov
+	Distance-regular graphs with intersection arrays {52, 35, 16; 1, 4, 28} and {69, 48, 24; 1, 4, 46} do not exist	2012	Alexander L. Gavrilyuk A. A. Makhnëv
+	A note on Cameron - Liebler line classes in PG(n,4)	2012	Alexander L. Gavrilyuk I. Yu. Mogilnykh
+	A note on Cameron - Liebler line classes in PG(n,4)	2012	Alexander L. Gavrilyuk I. Yu. Mogilnykh
+	Distance-regular graphs with intersection arrays {55, 36, 11; 1, 4, 45} and {56, 36, 9; 1, 3, 48} do not exist	2011	Alexander L. Gavrilyuk
+	On terwilliger graphs in which the neighborhood of each vertex is isomorphic to the Hoffman-Singleton graph	2011	Alexander L. Gavrilyuk A. A. Makhnëv
+	There exists no distance-regular graph with intersection array {55,36,11;1,4,45}	2010	Alexander L. Gavrilyuk
+ PDF Chat	On the Koolen&ndash;Park inequality and Terwilliger graphs	2010	Alexander L. Gavrilyuk
+	On a Koolen -- Park inequality and Terwilliger graphs	2010	Alexander L. Gavrilyuk
+	On automorphisms of distance-regular graphs with intersection array {56, 45, 1; 1, 9, 56}	2010	Alexander L. Gavrilyuk A. A. Makhnëv
+	There exists no distance-regular graph with intersection array {56,36,9;1,3,48}	2010	Alexander L. Gavrilyuk
+	There exists no distance-regular graph with intersection array {55,36,11;1,4,45}	2010	Alexander L. Gavrilyuk
+	On Terwilliger graphs with µ = 4	2009	Alexander L. Gavrilyuk
+	On graphs in which the neighborhood of each vertex is isomorphic to the Gewirtz graph	2009	Alexander L. Gavrilyuk A. A. Makhnëv D. V. Paduchikh
+	On distance-regular graphs in which the neighborhood of each vertex is isomorphic to the Hoffman-Singleton graph	2009	Alexander L. Gavrilyuk A. A. Makhnëv
+	Classification of Ryser graphs	2009	Alexander L. Gavrilyuk
+	Geodesic graphs with homogeneity conditions	2008	Alexander L. Gavrilyuk A. A. Makhnëv
+	Automorphisms of Terwilliger graphs with μ = 2	2008	Alexander L. Gavrilyuk Wenbin Guo A. A. Makhnëv
+	Terwilliger graphs in which the neighborhood of some vertex is isomorphic to a petersen graph	2008	Alexander L. Gavrilyuk А. А. Махнев
+	On the regularity problem in Terwilliger graphs	2007	Alexander L. Gavrilyuk A. A. Makhnëv
+	Terwilliger graphs with μ ≤ 3	2007	Alexander L. Gavrilyuk A. A. Makhnëv

Common Coauthors

Coauthor	Papers Together
Jack H. Koolen	14
A. A. Makhnëv	12
Ilia Ponomarenko	7
Sho Suda	6
Janoš Vidali	5
Klaus Metsch	5
Ilia Matkin	4
Akihiro Munemasa	4
I. Yu. Mogilnykh	4
Francesco Pavese	4
V. V. Kabanov	4
Jin Guo	4
Sergey Goryainov	3
Jason Williford	3
Yoshio Sano	2
Tetsuji Taniguchi	2
Jinzhuan Cai	2
Roman Nedela	2
Sejeong Bang	2
D. V. Paduchikh	2
Tim Penttila	2
Xi-Ming Cheng	1
Konstantin Vorob’ev	1
Aida Abiad	1
S. V. Goryaĭnov	1
Gary R. W. Greaves	1
А. А. Махнев	1
Peter J‎. Cameron	1
R. A. Bailey	1
Wenbin Guo	1
Rhys J. Evans	1
Antonina P. Khramova	1
Chenhui Lv	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Distance-Regular Graphs	2011	Andries E. Brouwer Willem H. Haemers	28
+	Distance-Regular Graphs	1989	Andries E. Brouwer Arjeh M. Cohen Arnold Neumaier	24
+	Triple intersection numbers of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si4.gif" display="inline" overflow="scroll"><mml:mi>Q</mml:mi></mml:math>-polynomial distance-regular graphs	2012	Matjaž Urlep	9
+	Extremal 1-codes in distance-regular graphs of diameter 3	2012	Aleksandar Jurišić Janoš Vidali	9
+ PDF Chat	Using equality in the Krein conditions to prove nonexistence of certain distance-regular graphs	2008	Kris Coolsaet Aleksandar Jurišić	9
+	Cameron–Liebler line classes in $$PG(n,4)$$ PG ( n , 4 )	2013	Alexander L. Gavrilyuk I. Yu. Mogilnykh	8
+ PDF Chat	The Terwilliger polynomial of a Q-polynomial distance-regular graph and its application to pseudo-partition graphs	2014	Alexander L. Gavrilyuk Jack H. Koolen	8
+	Strongly regular graphs having strongly regular subconstituents	1978	Peter J‎. Cameron J.-M. Goethals J.J. Seidel	8
+	Tactical decompositions and orbits of projective groups	1982	Peter J‎. Cameron Robert A. Liebler	7
+	Distance-Regular Graphs	2016	Edwin van Dam Jack H. Koolen Hajime Tanaka	7
+	The Construction of Cameron–Liebler Line Classes inPG(3,q)	1999	Aiden A. Bruen Keldon Drudge	7
+	Spectra of Graphs	2011	Andries E. Brouwer Willem H. Haemers	7
+ PDF Chat	Intriguing sets of quadrics in PG(5, <i>q</i>)	2017	Antonio Cossidente Francesco Pavese	7
+ PDF Chat	Using Symbolic Computation to Prove Nonexistence of Distance-Regular Graphs	2018	Janoš Vidali	6
+	A modular equality for Cameron–Liebler line classes	2014	Alexander L. Gavrilyuk Klaus Metsch	6
+ PDF Chat	None	1992	Paul Terwilliger	6
+ PDF Chat	Cameron–Liebler line classes	2011	Morgan Rodgers	6
+	Improvement of Bruck's completion theorem	1991	Klaus Metsch	6
+	Regular graphs with four eigenvalues	1995	Edwin van Dam	5
+	Cameron–Liebler line classes with parameter <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi>x</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msup><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mn>2</mml:mn></mml:mfrac></mml:math>	2015	Tao Feng Koji Momihara Qing Xiang	5
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust	5
+	Shilla distance-regular graphs	2010	Jack H. Koolen Jongyook Park	5
+	The spectra of the local graphs of the twisted Grassmann graphs	2008	Sejeong Bang Tatsuya Fujisaki Jack H. Koolen	5
+	An improved bound on the existence of Cameron–Liebler line classes	2013	Klaus Metsch	5
+	Spherical codes and designs	1977	P. Delsarte J.-M. Goethals J.J. Seidel	5
+	On regular Terwilliger graphs with μ=2	1996	А. А. Махнев	5
+	Kite-free distance-regular graphs	1995	Paul Terwilliger	5
+	Two remarks on Huang's characterization of the bilinear forms graphs	1992	Hans Cuypers	4
+	The dual of Pasch's axiom	1992	Hans Cuypers	4
+ PDF Chat	Exceptional graphs with smallest eigenvalue -2 and related problems	1992	F.C. Bussemaker Arnold Neumaier	4
+ PDF Chat	A new family of tight sets in $${\mathcal {Q}}^{+}(5,q)$$ Q + ( 5 , q )	2014	Jan De Beule Jeroen Demeyer Klaus Metsch Morgan Rodgers	4
+ PDF Chat	On Cameron--Liebler line classes	2004	Patrick Govaerts Leo Storme Hendrik Van Maldeghem	4
+	Tight sets and m-ovoids of finite polar spaces	2007	John Bamberg Shane Kelly Maska Law Tim Penttila	4
+ PDF Chat	Imprimitive cometric association schemes: Constructions and analysis	2007	William J. Martin Mikhail Muzychuk Jason Williford	4
+ PDF Chat	New Cameron–Liebler line classes with parameter $$\frac{q^2+1}{2}$$	2018	Antonio Cossidente Francesco Pavese	4
+	Strongly regular graphs with smallest eigenvalue ?m	1979	Arnold Neumaier	4
+	Uniformity in association schemes and coherent configurations: Cometric Q-antipodal schemes and linked systems	2013	Edwin van Dam William J. Martin Mikhail Muzychuk	4
+ PDF Chat	Derivation of Cameron–Liebler line classes	2017	Alexander L. Gavrilyuk Ilia Matkin Tim Penttila	4
+	Locally 4‐by‐4 grid graphs	1989	A. Blokhuis A.E. Brouwer	4
+ PDF Chat	None	2000	Aleksandar Jurišić Jack H. Koolen Paul Terwilliger	4
+	Restrictions on classical distance-regular graphs	2017	Aleksandar Jurišić Janoš Vidali	4
+	Strongly regular graphs with (—1,1,0) adjacency matrix having eigenvalue 3	1968	J.J. Seidel	4
+	Coherent configurations and triply regular association schemes obtained from spherical designs	2010	Sho Suda	4
+	None	2003	Klaus Metsch	4
+	A Characterization of the Association Schemes of Bilinear Forms	1987	Tayuan Huang	4
+ PDF Chat	None	1999	Edwin van Dam	3
+ PDF Chat	Hermitian Adjacency Matrix of Digraphs and Mixed Graphs	2016	Krystal Guo Bojan Mohar	3
+	A class of distance-regular graphs that are Q-polynomial	1986	Paul Terwilliger	3
+ PDF Chat	Tight sets and m-ovoids of generalised quadrangles	2009	John Bamberg Maska Law Tim Penttila	3
+ PDF Chat	None	1998	Hiroshi Suzuki	3