Results 61 to 70 of about 5,965 (204)
A spectral excess theorem for digraphs with normal Laplacian matrices [PDF]
The spectral excess theorem, due to Fiol and Garriga in 1997, is an important result, because it gives a good characterization of distance-regularity in graphs. Up to now, some authors have given some variations of this theorem.
Fateme Shafiei
doaj +1 more source
The spectrum of the periodic p-Laplacian
New properties of the spectrum \(\sigma\) are determined for the boundary value problems {\parindent6.5mm \begin{itemize}\item[(i)] \(-\Delta_p u= (\lambda- q(x))|u|^{p-1}\text{sgn\,}u\), \(p> 1\), \(x\in(0,\pi_p)\) with periodic boundary conditions \item[(ii)] \(u(0)= u(\pi_p)\), \(u'(0)= u'(\pi_p)\), \(q(x)\in C^1[0,\pi_p]\), \(\lambda\in \mathbb R\),
Binding, Paul A., Rynne, Bryan P.
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Establishing Indium in Frustrated Lewis Pair Chemistry: From Synthesis to Catalytic Applications
Not that hard: The effects of chemical hardness of the soft FLP tBu2InCH2PtBu2 and its pyridine‐adduct tBu2In(py)CH2PtBu2 were examined in adduct formation reactions toward H2, CO2, and CS2. The frustrated Lewis pair shows catalytic activity in the reduction of CO2 with pinacolborane.
Daniel N. Heuer +6 more
wiley +1 more source
On energy, Laplacian energy and $p$-fold graphs
For a graph $G$ having adjacency spectrum ($A$-spectrum) $\lambda_n\leq\lambda_{n-1}\leq\cdots\leq\lambda_1$ and Laplacian spectrum ($L$-spectrum) $0=\mu_n\leq\mu_{n-1}\leq\cdots\leq\mu_1$, the energy is defined as $ E(G)=\sum_{i=1}^{n}|\lambda_i|$ and ...
Hilal A Ganie +2 more
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The normalized Laplacian spectrum of a graph is an important tool that one can use to find much information about its topological and structural characteristics and also on some relevant dynamical aspects, specifically in relation to random walks.
Zhiyong Zhu
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On the Fučí k spectrum for the $p$-Laplacian
The structure of the set \(\{(\alpha, \beta) \in \mathbb R^2\): the problem \(-\Delta_p u = \alpha (u^+)^{p-1} - \beta (u^-)^{p-1}\) in \(\Omega\), \(u=0\) on \(\partial\Omega\) has a nontrivial solution\} is studied. See also \textit{N. Dancer} and \textit{K. Perera} [J. Math. Anal. Appl. 254, 164-177 (2001; Zbl 0970.35056)].
MICHELETTI, ANNA MARIA, A. PISTOIA
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Unlocking Heterobimetallic Architectures in a Symmetric PNNP Ligand Environment
A symmetric PNNP ligand enables the modular assembly of heterobimetallic ZnRu and CoRu complexes from a mononuclear Ru(II) precursor. Ligand deprotonation triggers dearomatization and contraction of the metal–metal distance. Combined DFT and QTAIM analyses reveal metallophilic interaction in CoRu but not in ZnRu, highlighting controllable geometric and
Stanislav Melnikov +4 more
wiley +1 more source
Strict Monotonicity and Unique Continuation for the Third-Order Spectrum of Biharmonic Operator
We will study the spectrum for the biharmonic operator involving the laplacian and the gradient of the laplacian with weight, which we call third-order spectrum. We will show that the strict monotonicity of the eigenvalues of the operator , where , holds
Khalil Ben Haddouch +3 more
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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
RECOGNITION OF HUMAN POSE FROM IMAGES BASED ON GRAPH SPECTRA [PDF]
Recognition of human pose is an actual problem in computer vision. To increase the reliability of the recognition it is proposed to use structured information in the form of graphs.
A. A. Zakharov +2 more
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