Results 71 to 80 of about 11,404 (180)

Properties of the energy Laplacian on Sierpinski gasket type fractals [PDF]

In this paper,we extend some results from the standard Laplacian on the Sierpinski Gasket to the energy Laplacian. We evaluate the pointwise formula for the energy Laplacian and then observe that we have the analogue of Picard’s existence and uniqueness ...
Öberg, Anders, Tsougkas, Konstantinos
core   +4 more sources

Interactive Mesh Segmentation Based On Graph Laplacian [PDF]

, 2011
This paper introduces a novel algorithm that decomposes a given shape into meaningful parts requiring only strokes to specify foreground and background regions.
Gao EY(高恩阳), Wang TR(王天然), Liu WJ(刘伟军)   +2 more
core  

The Laplacian spread of graphs [PDF]

, 2009
summary:The Laplacian spread of a graph is defined as the difference between the largest and second smallest eigenvalues of the Laplacian matrix of the graph. In this paper, bounds are obtained for the Laplacian spread of graphs. By the Laplacian spread,
Tan, Ying-Ying, Fan, Yi-Zheng, Liu, BoLian, You, Zhifu, Bao, Yan-Hong   +4 more
core   +1 more source

The Laplacian-energy like invariant is an energy like invariant [PDF]

, 2010
Short time ago Liu and Liu [MATCH Commun. Math. Comput. Chem. 59 (2008) 355–372] put forward a so-called Laplacian–energy like invariant (LEL), defined as the sum of the square roots of the Laplacian eigenvalues.
Zhou, Bo, Furtula, Boris, Gutman, Ivan
core  

New Bounds on the Normalized Laplacian (Randic) Energy [PDF]

, 2018
In this paper, we consider the energy of a simple graph with respect to its normalized Laplacian eigenvalues (Randic eigenvalues), which we call the normalized Laplacian energy (also Randic energy).
Maden, A. Dilek
core   +1 more source

Inequalities for Distance Signless Laplacian Matrix Under Minimum-Degree Constraints

Journal of Mathematics
For a connected graph G of order n, let DG denote its distance matrix and let TrG be the diagonal matrix formed by the vertex transmissions. The distance signless Laplacian of G is defined by DQ=DG+TrG.
Mohd Abrar Ul Haq, S. Pirzada, Y. Shang
doaj   +1 more source

On the Laplacian Coefficients and Laplacian-Like Energy of Unicyclic Graphs with n Vertices and m Pendent Vertices

Journal of Applied Mathematics, 2012
Let Φ(G,λ)=det(λIn-L(G))=∑k=0n(-1)kck(G)λn-k be the characteristic polynomial of the Laplacian matrix of a graph G of order n. In this paper, we give four transforms on graphs that decrease all Laplacian coefficients ck(G) and investigate a conjecture A.
Xinying Pai, Sanyang Liu
doaj   +1 more source

Threshold graphs of maximal Laplacian energy

Discrete Mathematics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Christoph Helmberg, Vilmar Trevisan
openaire   +2 more sources

New skew Laplacian energy of simple digraphs [PDF]

Transactions on Combinatorics, 2013
For a simple digraph $G$ of order $n$ with vertex set${v_1,v_2,ldots, v_n}$, let $d_i^+$ and $d_i^-$ denote theout-degree and in-degree of a vertex $v_i$ in $G$, respectively.
Qingqiong Cai, Xueliang Li, Jiangli Song
doaj  

A Phase Congruency and Local Laplacian Energy Based Multi-Modality Medical Image Fusion Method in NSCT Domain

IEEE Access, 2019
Multi-modality image fusion provides more comprehensive and sophisticated information in modern medical diagnosis, remote sensing, video surveillance, and so on.
Zhiqin Zhu, Mingyao Zheng, Guanqiu Qi, Di Wang, Yan Xiang   +4 more
doaj   +1 more source