In this project report, we present three practical schemes of lossy compression for Laplacian source and L-1 distortion: The first scheme generalizes the successive refinement scheme. The second scheme modifies the first scheme by using only ternary alphabet. The third scheme encodes only the indices of maximum and minimum component. The whole of suggested schemes have a rateless property as we...

This paper studies nonlinear partial difference equations on graphs. We seek solutions to the semilinear equation −Lu + su + u = 0 where L is the Laplacian of a graph G = (V, E). In particular we prove the existence of 3 solutions when s → −∞ and n = |V |. In addition, we find their Morse indices and exact forms. In [4], the authors used the tGNGA method to produce bifurcation diagrams for seve...

In this paper an estimator for speech enhancement based on Laplacian Mixture Model has been proposed. The proposed method, estimates the complex DFT coefficients of clean speech from noisy speech using the MMSE  estimator, when the clean speech DFT coefficients are supposed mixture of Laplacians and the DFT coefficients of  noise are assumed zero-mean Gaussian distribution. Furthermore, the MMS...

Let $S(G)$ be the Seidel matrix of a graph $G$ of order $n$ and let $D_S(G)=diag(n-1-2d_1, n-1-2d_2,ldots, n-1-2d_n)$ be the diagonal matrix with $d_i$ denoting the degree of a vertex $v_i$ in $G$. The Seidel Laplacian matrix of $G$ is defined as $SL(G)=D_S(G)-S(G)$ and the Seidel signless Laplacian matrix as $SL^+(G)=D_S(G)+S(G)$. The Seidel signless Laplacian energy $E_{SL^+...

a spanning tree of graph g is a spanning subgraph of g that is a tree. in this paper, we focusour attention on (n,m) graphs, where m = n, n + 1, n + 2 and n + 3. we also determine somecoefficients of the laplacian characteristic polynomial of fullerene graphs.

in this paper, we establish some results on the existence of at least three weak solutions for adirichlet problem involving p-laplacian using a variational approach.

this work concerns the study of existence and uniqueness to heat equation with fractional laplacian dierentiation in extended colombeau algebra.