Results 81 to 90 of about 102,179 (232)

Vertex weighted Laplacian Energy of union of graphs [PDF]

open access: yesComputer Science Journal of Moldova, 2018
The vertex weighted Laplacian energy with respect to the vertex weight $w$ of a graph $G$ with $n$ vertices is defined as ~$LE_w(G)=\sum\limits_{i=1}^n|\mu_i-\bar{w}|$, where ${{\mu }_{1}},{{\mu }_{2}},...,{{\mu }_{n}}$ are the Laplacian eigenvalues of ...
Nilanjan De
doaj  

Energy, Laplacian energy of double graphs and new families of equienergetic graphs [PDF]

open access: yes, 2013
For a graph $G$ with vertex set $V(G)=\{v_1, v_2, \cdots, v_n\}$, the extended double cover $G^*$ is a bipartite graph with bipartition (X, Y), $X=\{x_1, x_2, \cdots, x_n\}$ and $Y=\{y_1, y_2, \cdots, y_n\}$, where two vertices $x_i$ and $y_j$ are ...
A Ganie, Hilal, S. Pirzada
core  

Selective Sequestration of Toxic NOx Gases by P‐Doped Graphene: A Density Functional Theory Study

open access: yesAdvanced Physics Research, EarlyView.
P‐doped graphene (P‐grap) is explored as an NOx sensor through DFT simulations. The analysis of its geometry, binding energies, electronic properties, and atom‐in‐molecule characteristics demonstrates that P‐grap is a selective sensor for NOx among a mixture of various gases.
Anwar Ali   +3 more
wiley   +1 more source

New skew Laplacian energy of simple digraphs [PDF]

open access: yesTransactions 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  

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

open access: yesJournal 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

Calix[4]arene Design for Enhanced Carbon Capture via Topological Learning

open access: yesChemistry – A European Journal, EarlyView.
ABSTRACT Solid direct air capture (S‐DAC) technologies have the potential to remove pre‐existing CO2 from the atmosphere by taking advantage of hydrophobic materials that will retain CO2 through physisorption and separating it from the abundant water molecules. Calix[n]arenes are highly tunable and versatile complexes with inherent hydrophobic cavities,
Jeffrey A. Laub   +1 more
wiley   +1 more source

Inequalities for Distance Signless Laplacian Matrix Under Minimum-Degree Constraints

open access: yesJournal 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

Unlocking Heterobimetallic Architectures in a Symmetric PNNP Ligand Environment

open access: yesChemistry – A European Journal, EarlyView.
A symmetric PNNP ligand enables the modular assembly of heterobimetallic ZnRu and CoRu complexes from a mononuclear Ru(II) precursor. Ligand deprotonation triggers dearomatization and contraction of the metal–metal distance. Combined DFT and QTAIM analyses reveal metallophilic interaction in CoRu but not in ZnRu, highlighting controllable geometric and
Stanislav Melnikov   +4 more
wiley   +1 more source

On the Laplacian eigenvalues of a graph and Laplacian energy

open access: yesLinear Algebra and its Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S. Pirzada, Hilal A. Ganie
openaire   +1 more source

Si─Si Bonding in an Unsupported N‐Heterocyclic Silylene Dimer Stabilized by an Iminophosphorane‐Based Scorpionate Ligand Versus Head‐to‐Tail Coordination in the Sn and Pb Tetrylenes

open access: yesChemistry – A European Journal, EarlyView.
A new iminophosphorane‐based scorpionate ligand enabled the characterization of a head‐to‐head silylene dimer with unsupported Si─Si bonding, whereas the tetrylene species of Sn and Pb afforded head‐to‐tail coordination polymers in the solid state. ABSTRACT N,N‐chelating ligands disfavor element–element bonding in heavier alkene analogs of group 13 and
Huanhuan Dong   +10 more
wiley   +1 more source

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