Results 71 to 80 of about 18,314 (299)

The spectra of the adjacency matrix and Laplacian matrix for some balanced trees

Linear Algebra and its Applications, 2005
The authors express the spectra of the adjacency and the Laplacian matrices of an unweighted rooted tree of \(k\) levels, such that in each level the vertices have the same degree, in terms of the spectra of a set of symmetric tridiagonal matrices.
Rojo, O, Soto, R
openaire   +4 more sources

Computation of the para-pseudoinverse for oversampled filter banks: Forward and backward Greville formulas [PDF]

, 2008
This is the author's accepted manuscript. The final published article is available from the link below. Copyright @ 2008 IEEE. Personal use of this material is permitted.
Cong Ling, Gan, L, Ling, Cong, Li, Kwok H, Kot, Alex C, Ling, C, Lu Gan   +6 more
core   +1 more source

An exciting Approach to Theoretical Spectroscopy

Advanced Science, EarlyView.
ABSTRACT Theoretical spectroscopy, and more generally, electronic‐structure theory, are powerful concepts for describing the complex many‐body interactions in materials. They cover methods from ground‐state properties to lattice excitations and light‐matter interaction, including time‐resolved variants.
Martí Raya‐Moreno, Alexander Buccheri, Noah Alexy Dasch, Nasrin Farahani, Ignacio Gonzalez Oliva, Andris Gulans, Seokhyun Hong, Manoar Hossain, Hannah Kleine, Martin Kuban, Sven Lubeck, Benedikt Maurer, Pasquale Pavone, Fabian Peschel, Daria Popova‐Gorelova, Lu Qiao, Elias Richter, Santiago Rigamonti, Ronaldo Rodrigues Pela, Maximilian Schebek, Kshitij Sinha, Daniel T. Speckhard, Jan Stutz, Sebastian Tillack, Dmitry Tumakov, Jānis Užulis, Mara Voiculescu, Cecilia Vona, Mao Yang, Claudia Draxl   +29 more
wiley   +1 more source

Network Coherence in a Family of Book Graphs

Frontiers in Physics, 2020
In this paper, we study network coherence characterizing the consensus behaviors with additive noise in a family of book graphs. It is shown that the network coherence is determined by the eigenvalues of the Laplacian matrix.
Jing Chen, Yifan Li, Weigang Sun
doaj   +1 more source

The study of the Laplacian Eignvalues of graphs [PDF]

, 2011
碩士令G為一簡單圖且A(G)為圖G的鄰接矩陣，D(G)為圖G的度對角矩陣，其中對角線元素dii為圖G上的點vi的度數，即dii=deg(vi)。定義L(G)=D(G)–A(G)為圖G的拉普拉斯矩陣，此拉普拉斯矩陣的特徵值稱為圖G的拉普拉斯特徵值。已知任一圖的最小拉普拉斯特徵值必為零且其餘皆為正數，而其最大特徵值又稱為此圖的拉普拉斯譜半徑。 設f(n)為拉普拉斯譜半徑恰等於點數n且所有特徵值皆為整數的連通圖之總個數，Fiedler證明了圖G的拉普拉斯特徵值為其點數若且唯若圖G的補圖是不連通的 ...
戴思平; Tai, Su-Ping
core  

Distance matrix and Laplacian of a tree with attached graphs [PDF]

, 2004
A tree with attached graphs is a tree, together with graphs defined on its partite sets. We introduce the notion of incidence matrix, Laplacian and distance matrix for a tree with attached graphs.
R.B. Bapat, Bapat, R. B., Bapat, R.B.
core   +1 more source

Surface Energy Modulated Self‐Assembly of Percolative Gallium Nanodroplet Films for Stretchable Electronics

Advanced Electronic Materials, EarlyView.
Surface‐energy guided self‐assembly of liquid metals enables the transformation of liquid metal micro/nanodroplets into continuous perocolative films on elastomeric substrates. By tailoring interfacial energetics and wetting behavior, uniform, conductive, and stretchable films are achieved, offering scalable pathways for high‐performance soft ...
Alwar Samy Ramasamy, Gayatri Subhalaxmi, Sneha Banerjee, Mark Vailshery, Renu Raman Sahu, Sivakumar K.S, Ajisha Chathyattu, Tapajyoti Das Gupta   +7 more
wiley   +1 more source

A Note on the Laplacian Energy of the Power Graph of a Finite Cyclic Group

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi
In this study, the Laplacian matrix concept for the power graph of a finite cyclic group is redefined by considering the block matrix structure. Then, with the help of the eigenvalues of the Laplacian matrix in question, the concept of Laplacian energy ...
Şerife Büyükköse, Nurşah Mutlu Varlıoğlu   +1 more
doaj   +1 more source

Multi-View Spectral Clustering with Optimal Neighborhood Laplacian Matrix [PDF]

, 2020
Multi-view spectral clustering aims to group data into different categories by optimally exploring complementary information from multiple Laplacian matrices.
Zhou, Sihang, Gao, Wen, Zhai, Yongping, Liu, Jiyuan, Guo, Xifeng, Zhu, En, Yin, Jianping, Zhao, Yawei, Liu, Xinwang   +8 more
core   +1 more source

New Spectral Results for Laplacian Harary Matrix and the Harary Laplacian-Energy-like Applying a Matrix Order Reduction [PDF]

, 2023
In this paper, we introduce the concepts of Harary Laplacian-energy-like for a simple undirected and connected graph G with order n. We also establish novel matrix results in this regard.
Luis Medina, Macarena Trigo, Jonnathan Rodríguez   +2 more
core   +1 more source