Results 81 to 90 of about 102,179 (232)
Vertex weighted Laplacian Energy of union of graphs [PDF]
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]
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
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]
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
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
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
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
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
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S. Pirzada, Hilal A. Ganie
openaire +1 more source
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

