A Method for Computing the Edge-Hyper-Wiener Index of Partial Cubes and an Algorithm for Benzenoid Systems [PDF]
, 2016 The edge-hyper-Wiener index of a connected graph $G$ is defined as $WW_e(G) = \frac{1}{2}\sum_{\lbrace e,f\rbrace \subseteq E(G)}d(e,f) + \frac{1}{2}\sum_{\lbrace e,f\rbrace \subseteq E(G)}d(e,f)^2$.
Niko Tratnik
semanticscholar +1 more source
Phanerozoic Large Igneous Province, Petroleum System, and Source Rock Links
Geophysical Monograph Series, Page 191-228., 2021 Exploring the links between Large Igneous Provinces and dramatic environmental impact
An emerging consensus suggests that Large Igneous Provinces (LIPs) and Silicic LIPs (SLIPs) are a significant driver of dramatic global environmental and biological changes, including mass extinctions.
Steven C. Bergman +2 more
wiley +1 more source
Hosoya and Harary Polynomials of Hourglass and Rhombic Benzenoid Systems
Journal of Chemistry, 2020 In the fields of chemical graph theory, topological index is a type of a molecular descriptor that is calculated based on the graph of a chemical compound.
Zhong-Lin Cheng +4 more
doaj +1 more source
Local existence and uniqueness for a two-dimensional surface growth equation with space--time white noise [PDF]
, 2013 We study local existence and uniqueness for a surface growth model with space-time white noise in 2D. Unfortunately, the direct fixed-point argument for mild solutions fails here, as we do not have sufficient regularity for the stochastic forcing ...
Blömker, Dirk, Romito, Marco
core +4 more sources
Eccentricity based topological indices of face centered cubic lattice FCC(n)
Main Group Metal Chemistry, 2021 Chemical graph theory has become a prime gadget for mathematical chemistry due to its wide range of graph theoretical applications for solving molecular problems.
Shaker Hani +2 more
doaj +1 more source
Learning Wavefront Coding for Extended Depth of Field Imaging [PDF]
, 2020 Depth of field is an important factor of imaging systems that highly affects the quality of the acquired spatial information. Extended depth of field (EDoF) imaging is a challenging ill-posed problem and has been extensively addressed in the literature ...
Akpinar, Ugur +4 more
core +2 more sources
Karpatsʹkì Matematičnì Publìkacìï, 2019 For a (molecular) graph, the Wiener index, hyper-Wiener index and degree distance index are defined as $$W(G)= \sum_{\{u,v\}\subseteq V(G)}d_G(u,v),$$ $$WW(G)=W(G)+\sum_{\{u,v\}\subseteq V(G)} d_{G}(u,v)^2,$$ and $$DD(G)=\sum_{\{u,v\}\subseteq V(G)}d_G(u,
N. Dehgardi +2 more
doaj +1 more source
The hyper edge-Wiener index of corona product of graphs [PDF]
Transactions on Combinatorics, 2015 Let G be a simple connected graph. The edge-Wiener index W e (G) is the sum of all distances between edges in G , whereas the hyper edge-Wiener index WW e (G) is defined as {\footnotesize WW e (G)=12 W e (G)+12 W 2 e (G) }, where {footnotesize W 2 e ...
Abolghasem Soltani, Ali Iranmanesh
doaj
Computing Wiener and Hyper-Wiener Indices of Zero-Divisor Graph of ℤℊ3×ℤI1I2
Journal of Function Spaces, 2022 Let S=ℤℊ3×ℤI1I2 be a commutative ring where ℊ,I1 and I2 are positive prime integers with I1≠I2. The zero-divisor graph assigned to S is an undirected graph, denoted as YS with vertex set V(Y(S)) consisting of all Zero-divisor of the ring S and for any c,
Yonghong Liu +4 more
doaj +1 more source
Diversity, 2021 Egypt is characterized by its hyper-arid desert environment with high temperature, scanty rainfall, high evapotranspiration rate, and patchy scattered precipitation-dependent vegetation.
Ethar A. Hussein +3 more
doaj +1 more source