Clustering for metric graphs using the p-Laplacian

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On the Eigenvalue Estimates for the Weighted Laplacian on Metric Graphs

It is shown that the eigenvalues of the equation −λ∆u = V u on a graph G of final total length |G|, with non-negative V ∈ L(G) and under appropriate boundary conditions, satisfy the inequality n2λn ≤ |G| ∫ G V dx, independently of geometry of a given graph. Applications and generalizations of this result are also discussed.

متن کامل

Seidel Signless Laplacian Energy of Graphs

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^+...

متن کامل

The metric dimension and girth of graphs

A set $Wsubseteq V(G)$ is called a resolving set for $G$, if for each two distinct vertices $u,vin V(G)$ there exists $win W$ such that $d(u,w)neq d(v,w)$, where $d(x,y)$ is the distance between the vertices $x$ and $y$. The minimum cardinality of a resolving set for $G$ is called the metric dimension of $G$, and denoted by $dim(G)$. In this paper, it is proved that in a connected graph $...

متن کامل

Interlacing for weighted graphs using the normalized Laplacian

The problem of relating the eigenvalues of the normalized Laplacian for a weighted graph G and G − H, for H a subgraph of G is considered. It is shown that these eigenvalues interlace and that the tightness of the interlacing is dependent on the number of nonisolated vertices of H. Weak coverings of a weighted graph are also defined and interlacing results for the normalized Laplacian for such ...

متن کامل

Ela Interlacing for Weighted Graphs Using the Normalized Laplacian∗

The problem of relating the eigenvalues of the normalized Laplacian for a weighted graph G and G − H, for H a subgraph of G is considered. It is shown that these eigenvalues interlace and that the tightness of the interlacing is dependent on the number of nonisolated vertices of H. Weak coverings of a weighted graph are also defined and interlacing results for the normalized Laplacian for such ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Michigan Mathematical Journal

سال: 2016

ISSN: 0026-2285

DOI: 10.1307/mmj/1472066142