Search Results - "Makhnev, A"
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On -Polynomial Shilla Graphs with
Published in Siberian mathematical journal (2023)“…A Shilla graph is a distance-regular graph of diameter 3 and second eigenvalue . In case divides put . Furthermore, and has the intersection array . Belousov…”
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Automorphisms of a Distance Regular Graph with Intersection Array
Published in Mathematical Notes (2021)“…A. A. Makhnev and M. S. Nirova found the intersection arrays of distance regular graphs with and at most 4096 vertices. For graphs of diameter , of most…”
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3
On Automorphisms of a Graph with Intersection Array $ \{44,30,9;1,5,36\}
Published in Siberian mathematical journal (01-11-2024)“…Given a set of the automorphisms of a graph , let be the set of all vertices of fixed by each automorphism in . There are exactly 7 admissible intersection…”
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On Graphs in Which the Neighborhoods of Vertices Are Edge-Regular Graphs without 3-Claws
Published in Proceedings of the Steklov Institute of Mathematics (01-12-2023)“…The triangle-free Krein graph Kre 𝑟 is strongly regular with parameters . The existence of such graphs is known only for 𝑟 1 (the complement of the Clebsch…”
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5
The graph Kre(4) does not exist
Published in Doklady. Mathematics (01-07-2017)“…Suppose that a strongly regular graph Γ with parameters ( v , k , λ, μ) has eigenvalues k , r , and s . If the graphs Γ and Γ ¯ are connected, then the…”
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On Distance-Regular Graphs of Diameter With Eigenvalue
Published in Siberian advances in mathematics (2023)“…For a distance-regular graph of diameter , the graph can be strongly regular only if either or . For the case in which is strongly regular, Koolen and his…”
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Inverse Problems in the Class of Distance-Regular Graphs of Diameter 4
Published in Proceedings of the Steklov Institute of Mathematics (01-08-2022)“…For a distance-regular graph Γ of diameter 4 , the graph Δ subscript Γ 1 2 can be strongly regular. In this case, the graph subscript Γ 3 4 is strongly…”
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8
The Koolen–Park Boundary and Distance-Regular Graphs without m-Claws
Published in Russian mathematics (01-09-2022)“…J.H. Koolen and J. Park found a boundary for the maximum size of the coclique in the neighborhood of a vertex of a distance-regular graph. Using this boundary,…”
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Use of a New Structure of Fluorescent-Labeled DNA Oligonucleotides to Reveal Mutation JAK2 V617F During Development of Leukemia
Published in Chemistry of natural compounds (01-11-2022)Get full text
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Automorphisms of a Graph With Intersection Array {nm − 1, nm− n + m − 1, n − m + 1;1, 1, nm− n + m − 1}
Published in Algebra and logic (01-11-2020)“…Automorphisms of a graph with intersection array {nm − 1, nm− n + m − 1, n − m + 1; 1, 1, nm− n + m − 1} are considered…”
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On the Nonexistence of Distance-Regular Graphs with Intersection Array
Published in Journal of applied and industrial mathematics (01-08-2021)“…We consider -polynomial graphs of diameter . Alongside the infinite series of intersection arrays , the following admissible intersection arrays of -polynomial…”
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Distance-Regular Graphs of Diameter 3 Without Triangles with c2=2
Published in Communications in mathematics and statistics (2022)“…Earlier it was proved that some distance-regular graphs of diameter 3 with c 2 = 2 do not exist. Distance-regular graph Γ with intersection array { 17 , 16 ,…”
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Optical Properties of Linear-Chain Carbon Film Deposited on a Steel Sample
Published in Optics and spectroscopy (01-09-2023)“…The optical constants of a linear chain carbon (LCC) film in the spectral range from 248 to 1100 nm (1.13–5.0 eV with a step of 0.1 eV) were obtained by the…”
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14
Time Resolution and Light Yield of Scintillation Detector Samples for the Time-of-Flight Neutron Detector of the BM@N Experiment
Published in Instruments and experimental techniques (New York) (01-08-2023)“…— A new compact time-of-flight neutron detector is being planned for the identification and energy measurement of neutrons produced in nucleus-nucleus…”
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The Largest Moore Graph and a Distance-Regular Graph with Intersection Array {55, 54, 2; 1, 1, 54}
Published in Algebra and logic (01-09-2020)“…We point out possible automorphisms of a distance-regular graph Γ with intersection array {55, 54, 2; 1, 1, 54} and spectrum 55 1 , 7 1617 ,−1 110 ,−8 1408 …”
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Inverse Problems in the Theory of Distance-Regular Graphs: Dual 2-Designs
Published in Proceedings of the Steklov Institute of Mathematics (2021)“…Let Γ be a distance-regular graph of diameter 3 with a strongly regular graph subscript Γ 3 . Finding the parameters of subscript Γ 3 from the intersection…”
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17
On extensions of some block designs
Published in Doklady. Mathematics (01-09-2016)“…There are some results concerning t -designs in which the number of points in the intersection of two blocks takes less than t values. For example, if t = 2,…”
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Antipodal Krein Graphs and Distance-Regular Graphs Close to Them
Published in Doklady. Mathematics (01-05-2020)“…An antipodal nonbipartite distance-regular graph Γ of diameter 3 has an intersection array ( ) and eigenvalues k , n , –1, and – m , where n and – m are the…”
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Electronic Structure and Optical Properties of Heusler Alloy Mn1.5Fe1.5Al
Published in Journal of experimental and theoretical physics (01-10-2021)“…Theoretical calculations of the electronic structure and measurements of optical properties of the Heusler alloy Mn 1.5 Fe 1.5 Al have been performed. The…”
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A Shilla graph with Intersection Array {12, 10, 2; 1, 2, 8} Does not Exist
Published in Mathematical Notes (01-11-2019)Get full text
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