Results 31 to 40 of about 5,576,282 (226)

On energy, Laplacian energy and $p$-fold graphs

Electronic Journal of Graph Theory and Applications, 2015
For a graph $G$ having adjacency spectrum ($A$-spectrum) $\lambda_n\leq\lambda_{n-1}\leq\cdots\leq\lambda_1$ and Laplacian spectrum ($L$-spectrum) $0=\mu_n\leq\mu_{n-1}\leq\cdots\leq\mu_1$, the energy is defined as $ E(G)=\sum_{i=1}^{n}|\lambda_i|$ and ...
Hilal A Ganie, Shariefuddin Pirzada, Edy Tri Baskoro   +2 more
doaj   +1 more source

Seidel Signless Laplacian Energy of Graphs [PDF]

Mathematics Interdisciplinary Research, 2017
Let S(G) be the Seidel matrix of a graph G of order n and let DS(G)=diag(n-1-2d1, n-1-2d2,..., n-1-2dn) be the diagonal matrix with d_i denoting the degree of a vertex v_i in G.
Harishchandra Ramane, Ivan Gutman, Jayashri Patil, Raju Jummannaver   +3 more
doaj   +1 more source

Computation‐Less, Bias‐Free, and Ultra‐Broadband Photodetector for On‐Chip Edge Extraction

Advanced Materials, EarlyView.
A computation‐less, bias‐free, and ultra‐broadband photodetector directly converts local optical‐intensity gradients into signed photocurrents through a position‐dependent bi‐directional photoresponse. This intrinsic physical sensing mechanism enables single‐pixel edge extraction from the near‐infrared to the long‐wave infrared at room temperature ...
Jintao Fu, Hao Jiang, Xingsi Liu, Fakun Wang, Yang Peng, Qi Jie Wang, Weibo Gao, Xingzhan Wei, Cheng‐Wei Qiu   +8 more
wiley   +1 more source

On the Eigenvalues and Energy of the Seidel and Seidel Laplacian Matrices of Graphs

Discrete Dynamics in Nature and Society
Let SΓ be a Seidel matrix of a graph Γ of order n and let DΓ=diagn−1−2d1,n−1−2d2,…,n−1−2dn be a diagonal matrix with di denoting the degree of a vertex vi in Γ. The Seidel Laplacian matrix of Γ is defined as SLΓ=DΓ−SΓ.
J. Askari, Kinkar Chandra Das, Yilun Shang   +2 more
doaj   +1 more source

Discrete 2D Material Programming for 3D Shaping and Morphogenesis‐Inspired 4D Bioprinting

Advanced Science, EarlyView.
Cell‐compatible discrete 2D material programming enables 2‐to‐3D shape transformation and morphogenesis‐inspired 4D bioprinting. By patterning cell‐supportive microdomains within a responsive hydrogel, the approach programs in‐plane growth to encode target metrics.
Fereshteh Family, Aneela Davuluri, Athulya Martin, Kyungsuk Yum   +3 more
wiley   +1 more source

A review of the Energy Productivity Center's Least-Cost Energy Strategy study [PDF]

, 1981
The Mellon Institute's Energy Productivity Center (EPC) has recently completed a study asking the question, "How would the nation have provided energy services in 1978 if its capital stock had een reconfigured to be optimal for actual 1978 energy prices?"
Manove, Michael, Berndt, Ernst R., Wood, David O.   +2 more
core  

Bounds for the signless Laplacian energy [PDF]

, 2011
The energy of a graph G is the sum of the absolute values of the eigenvalues of the adjacency matrix of G. The Laplacian (respectively, the signless Laplacian) energy of G is the sum of the absolute values of the differences between the eigenvalues of ...
Martins, Enide A., Robbiano, Marı´a, Nair Abreu, Enide A. Martins, Abreu, Nair, Cardoso, Domingos M., Gutman, Ivan, Ivan Gutman, Marı´a Robbiano, Domingos M. Cardoso   +9 more
core   +1 more source

Polarization Holographic 4D Phenotyping Reveals Nanoplastic Induced Dysfunction in Zooplankton

Advanced Science, EarlyView.
Contaminant‐induced dysfunction in complex aquatic organisms remains difficult to resolve across scales. Polarization Holographic Imaging Microscopy (PHIM) integrates polarization‐sensitive holography with computational volumetric reconstruction for label‐free phenotyping of zooplankton in natural seawater, revealing that nanoplastic stress drives ...
Yuxing Li, Yanmin Zhu, Jingyan Chen, Rongzhou Chen, Yuen‐Wa Ho, Chutian Wang, James Kar‐Hei Fang, Kevin K. Tsia, Edmund Y. Lam   +8 more
wiley   +1 more source

A decision-making model based on energy concepts in Fermatean Quadripartitioned Neutrosophic fuzzy graphs [PDF]

Mathematics and Computational Sciences
Fermatean Quadripartitioned Neutrosophic fuzzy graphs (FQNFG) is the integrating form of Fermatean and Quadripartitioned Neutrosophic fuzzy graphs. Graph energy is recognized as a crucial concept in fuzzy graph theory for its ability to handle random ...
Divya Venkatesan, Jesintha Rosline Jesuraj, Anthoni Amali Asir, Chellamani Perumal   +3 more
doaj   +1 more source

Resonant nonlinear periodic problems with the scalar p-Laplacian and a nonsmooth potential [PDF]

, 2006
We study periodic problems driven by the scalar p-Laplacian with a nonsmooth potential. Using the nonsmooth critical point theory for locally Lipsctiz functions,we prove two existence theorems under conditions of resonance at infinity with respect to ...
Staicu, Vasile, Aizicovici, Sergiu, Aizicovici, S, Papageorgiou, NS, Papageorgiou, Nikolaos S., Papageorgiou, Nikolaos, Staicu, V   +6 more
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