100 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Lomonosov Moscow State UniversityRU72 papers
- Institute of Mathematical Problems of BiologyRU14 papers
- Moscow Center of Fundamental and Applied MathematicsRU14 papers
- National Research University Higher School of EconomicsRU12 papers
- Institute of Terrestrial Magnetism Ionosphere and Radio Wave PropagationRU8 papers
- Troitsk Institute for Innovation and Fusion ResearchRU8 papers
- University of Beira InteriorPT7 papers
- Institute for Information Transmission ProblemsRU6 papers
- St Petersburg UniversityRU6 papers
- Institute of Solar-Terrestrial PhysicsRU5 papers
- Moscow Institute of Physics and TechnologyRU5 papers
- Russian Academy of SciencesRU5 papers
6 papers · 1 filter
Orthogonality graphs of real Cayley-Dickson algebras. Part I: Doubly alternative zero divisors and their hexagons
Svetlana Zhilina
We study zero divisors whose components alternate strongly pairwise and construct oriented hexagons in the zero divisor graph of an arbitrary real Cayley-Dickson algebra. In case o…
Orthogonality graphs of real Cayley-Dickson algebras. Part II: The subgraph on pairs of basis elements
Svetlana Zhilina
We consider zero divisors of an arbitrary real Cayley-Dickson algebra such that their components are both standard basis elements. We construct inductively the orthogonality graph…
Commuting graphs of Okubo algebras
Svetlana Zhilina, Danil Pavlinov
Commuting graphs of Okubo algebras are considered, and the problem of their connectivity is studied. The commuting graph of a pseudo-octonion algebra over a field…
Relation graphs of the sedenion algebra
Alexander Guterman, Svetlana Zhilina
Let denote the algebra of the sedenions, and denote its orthogonality graph. We observe that any pair of zero divisors in produces a dou…
The algebraic and geometric classification of -Novikov algebras
Hani Abdelwahab, Ivan Kaygorodov, Roman Lubkov
The notion of -Novikov algebras was introduced recently as a generalization of Novikov and bicommutative algebras. It looks like -Novikov algebras have a richer structure tha…
Hamiltonian Sets of Polygonal Paths in Assembly Graphs
A. Guterman, N. Jonoska, E. Kreines +2
We provide four equivalent combinatorial conditions for a simple assembly graph (rigid vertex graph where all vertices are of degree 1 or 4) to have the largest number of Hamiltoni…