Results 31 to 40 of about 517 (82)
The Largest Laplacian Spectral Radius of Unicyclic Graphs with Fixed Diameter
Journal of Applied Mathematics, Volume 2013, Issue 1, 2013., 2013 We identify graphs with the maximal Laplacian spectral radius among all unicyclic graphs with n vertices and diameter d.
Haixia Zhang, Baolin Wang
wiley +1 more source
Bias estimation in sensor networks [PDF]
, 2019 This paper investigates the problem of estimating biases affecting relative state measurements in a sensor network. Each sensor measures the relative states of its neighbors and this measurement is corrupted by a constant bias.
De Persis, Claudio +3 more
core +2 more sources
Parabolic theory of the discrete p-Laplace operator [PDF]
, 2013 We study the discrete version of the $p$-Laplacian. Based on its variational properties we discuss some features of the associated parabolic problem.
Mugnolo, Delio
core +1 more source
Merging the A- and Q-spectral theories
, 2016 Let $G$ be a graph with adjacency matrix $A\left( G\right) $, and let $D\left( G\right) $ be the diagonal matrix of the degrees of $G.$ The signless Laplacian $Q\left( G\right) $ of $G$ is defined as $Q\left( G\right) :=A\left( G\right) +D\left( G\right)
Nikiforov, V.
core +1 more source
The spectrum of the Hilbert space valued second derivative with general self-adjoint boundary conditions [PDF]
, 2012 We consider a large class of self-adjoint elliptic problem associated with the second derivative acting on a space of vector-valued functions. We present two different approaches to the study of the associated eigenvalues problems.
Albeverio +45 more
core +1 more source
Ain Shams Engineering JournalIn this study, we define the structure formation of the annihilator monic prime graph of commutative rings, whose distinct vertices X and J satisfies a condition annXJ≠annX⋃ann(J), graph is denoted by AMPG(Zn[x]/〈fx〉).
R. Sarathy, J. Ravi Sankar
doaj +1 more source
Journal of Mathematics, Volume 2025, Issue 1, 2025.This study investigates the spectral and topological properties of rounded knot networks K2n, a helical extension of phenylene quadrilateral structures, through signless Laplacian spectral analysis. Motivated by the need to understand how helical topology influences network dynamics and robustness, we derive exact analytical expressions for three key ...
Fareeha Hanif +3 more
wiley +1 more source
Distance Spectra of Some Double Join Operations of Graphs
International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.In literature, several types of join operations of two graphs based on subdivision graph, Q‐graph, R‐graph, and total graph have been introduced, and their spectral properties have been studied. In this paper, we introduce a new double join operation based on (H1, H2)‐merged subdivision graph.
B. J. Manjunatha +4 more
wiley +1 more source
Spectral Properties of the Harary Signless Laplacian and Harary Incidence Energy
MathematicsLet X be a partitioned matrix and let B its equitable quotient matrix. Consider a simple, undirected, connected graph G of order n. In this paper, we employ a technique based on quotient matrices derived from block-partitioned structures to establish new
Luis Medina +2 more
doaj +1 more source
On the spectrum of hypergraphs
, 2016 Here we study the spectral properties of an underlying weighted graph of a non-uniform hypergraph by introducing different connectivity matrices, such as adjacency, Laplacian and normalized Laplacian matrices. We show that different structural properties
Chris Ritchie (1952305) +4 more
core +3 more sources