Results 101 to 110 of about 4,390 (196)
On The Determinant of q-Distance Matrix of a Graph
Discussiones Mathematicae Graph Theory, 2014 In this note, we show how the determinant of the q-distance matrix Dq(T) of a weighted directed graph G can be expressed in terms of the corresponding determinants for the blocks of G, and thus generalize the results obtained by Graham et al.
Li Hong-Hai, Su Li, Zhang Jing
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The Laplacian eigenvalue 2 of bicyclic graphs
, 2019 If $G$ is a graph, its Laplacian is the difference between diagonal matrix of its vertex degrees and its adjacency matrix. A one-edge connection of two graphs $G_{1}$ and $G_{2}$ is a graph $G=G_{1}\odot G_{2}$ with $V(G)=V(G_{1})\cup V(G_{2})$ and $E(G)= E(G_{1})\cup E(G_{2})\cup \{e=uv\}$ where $u\in V(G_1)$ and $v\in V(G_2)$.
Mojdeh, Doost Ali +2 more
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On Sombor index and graph energy of some chemically important graphs
Examples and CounterexamplesSombor index of a graph G=(V(G),E(G)) is provided by the expression ∑uv∈E(G)du2+dv2, where dx is the degree of the vertex x∈V(G). The energy of a graph is the quantity given by the total of the absolute values of its adjacency matrix’s eigenvalues.
Md Selim Reja, Sk. Md. Abu Nayeem
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On the Extremal Weighted Mostar Index of Bicyclic Graphs
AxiomsLet G be a simple connected graph with edge set E(G) and vertex set V(G). The weighted Mostar index of a graph G is defined as w+Mo(G)=∑e=uv∈E(G)(dG(u)+dG(v))|nu(e)−nv(e)|, where nu(e) denotes the number of vertices closer to u than to v for an edge uv ...
Yuwei He, Mengmeng Liu
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On signless Laplacian coefficients of bicyclic graphs
, 2012 22 pages, 3 figures.
Zhang, Jie, Zhang, Xiao-Dong
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On Some Distance Spectral Characteristics of Trees
AxiomsGraham and Pollack in 1971 presented applications of eigenvalues of the distance matrix in addressing problems in data communication systems. Spectral graph theory employs tools from linear algebra to retrieve the properties of a graph from the spectrum ...
Sakander Hayat +2 more
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MAXIMUM IRREGULARITY OF TOTALLY SEGREGATED ∞-BICYCLIC GRAPHS
Far East Journal of Mathematical Sciences (FJMS), 2020 T.F. Jorry, K.S. Parvathy
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Kuwait Journal of Science, 2016 Topological indices play an important role in Mathematical Chemistry, especially in thequantitative structure-property relationship (QSPR) and quantitative structure-activityrelationship (QSAR) studies.
Akbar Ali +2 more
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Photocatalytic Minisci Approach to Chiral 2-Hetaryl-1,2-aminoalcohols from β-Hydroxy-α-amino Acid-Derived Redox Active Esters. [PDF]
J Org ChemOroz P +10 more
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Roots of Indian heliotrope (Heliotropium indicum) produce simple pyrrolizidine alkaloids using the same homospermidine oxidase involved in biosynthesis of complex pyrrolizidine alkaloids in aerial parts. [PDF]
Plant Biol (Stuttg)Zakaria MM, Salewski MB, Ober D.
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