Some eigenvalue properties in graphs (conjectures of Graffiti -- II). O. Favaron,M. Mah\’eo,J.-F. Sacl\’e. Discrete Mathematics . 1993Favaron O., Maho´ M., Sacle´ J.F., Some eigenvalue properties in graphs (conjectures of Graffiti-II), Discrete Math., 111, pp. 197-220...
Some eigenvalue properties of five-diagonal matrices of a special formTHE laws of the distribution of the eigenvalues of five-diagonal matrices of a special form are analysed.doi:10.1016/0041-5553(73)90020-7D.S. BorisovElsevier B.V.USSR Computational Mathematics and Mathematical Physics...
An approach to the enumeration of feasible parameters for strongly regular graphs is described, based on the pair of structural parameters (a,c) and the positive eigenvalue e. The Krein bound ensures that there are only finitely many possibilities for c, given a and e, and the standard ...
The Hoffman-Singleton graph, with spectrum $7^{(1)}, 2^{(28)}, -3^{(21)}$, is characterized among regular graphs by a star complement for the eigenvalue $2$, that is, by an induced subgraph of order $22$ without $2$ as an eigenvalue. Properties of other induced subgraphs are...
C (2023) 83:668 https://doi.org/10.1140/epjc/s10052-023-11846-8 Regular Article - Theoretical Physics Some observable physical properties of the higher dimensional dS/AdS black holes in Einstein-bumblebee gravity theory Akhil Uniyal1,a, Sara Kanzi2,b, I˙zzet Sakallı3,c 1 Department ...
A survey of mathematical properties and applications of bipartite graphs in the areas of algebra, combinatorics, chemistry, communication networks, and computer science are provided by Asratian et al. (1998). The notion of multipartite graphs is required in the definition of chained graphs introduced...
35 FÜREDI ZOLTÁN_ MONOCHROMATIC COMPONENTS IN ALMOST COMPLETE GRAPHS (IN HUNGARIAN) 1:04:26 IMOLAY ANDRÁS, KOCSIS ANETT, SCHWEITZER ÁDÁM_ KNESER GRÁFOK XOR SZORZATÁNAK KLIK 1:09:26 LI WEI-TIAN_ RAMSEY PROPERTIES FOR V -SHAPED POSETS IN THE BOOLEAN LATTICES 1:21:13 JENSEN...
where denotes the unit ball in the Euclidean norm. Let us now set and . Eigenvalues of : Let be an eigenvector of normalized so the corresponding eigenvalue is . Then , implying that (here we use that for any ). Since , (2) implies that . We conclude that every eigenvalue of is ...
The ideal (v 0 ) is known in the literature and is naturally linked to the structure [ω] ω . We consider some natural counterpart of the ideal (v 0 ) related in an analogous way to the structure Dense(ℚ) and investigate its combinatorial properties.
Quantum graphs: II. Some spectral properties of quantum and combinatorial graphs - Kuchment () Citation Context ...n Laplacian, is ergodic with respect to the transformation group (τγ)γ∈Γ. Then the eigenspace corresponding to the eigenvalue E is spanned by finitely supported eigenfunctions ...