Results 31 to 40 of about 1,818 (187)

The Wiener polarity index of benzenoid systems and nanotubes [PDF]

open access: yes, 2017
In this paper, we consider a molecular descriptor called the Wiener polarity index, which is defined as the number of unordered pairs of vertices at distance three in a graph.
Tratnik, Niko
core   +3 more sources

QUANTUM ASPECTS OF 2+1 GRAVITY [PDF]

open access: yes, 1995
We review and systematize recent attempts to canonically quantize general relativity in 2+1 dimensions, defined on space-times $\R\times\Sigma^g$, where $\Sigma^g$ is a compact Riemann surface of genus $g$.
Okai T., R. Loll
core   +3 more sources

ADM approach to 2+1 dimensional gravity coupled to particles [PDF]

open access: yes, 1999
We develop the canonical ADM approach to 2+1 dimensional gravity in presence of point particles. The instantaneous York gauge can be applied for open universes or universes with the topology of the sphere.
't Hooft   +20 more
core   +2 more sources

The Hosoya polynomial of double weighted graphs

open access: yesArs Mathematica Contemporanea, 2018
Summary: The modified Hosoya polynomial of double weighted graphs, i.e. edge and vertex weighted graphs, is introduced that enables derivation of closed expressions for Hosoya polynomial of some special graphs including unicyclic graphs. Furthermore, the Hosoya polynomial is given as a sum of edge contributions generalizing well known analogous results
Novak, Tina   +2 more
openaire   +4 more sources

Hosoya Polynomial, Wiener Index, Coloring and Planar of Annihilator Graph of Zn [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2020
Let R be a commutative ring with identity. We consider ΓB(R) an annihilator graph of the commutative ring R. In this paper, we find Hosoya polynomial, Wiener index, Coloring, and Planar annihilator graph of Zn denote ΓB(Zn) , with n= pm or n=pmq, where p,
Mohammed Ahmed   +2 more
doaj   +1 more source

Weak values are universal in von Neumann measurements [PDF]

open access: yes, 2012
We refute the widely held belief that the quantum weak value necessarily pertains to weak measurements. To accomplish this, we use the transverse position of a beam as the detector for the conditioned von Neumann measurement of a system observable.
Andrew N. Jordan   +2 more
core   +3 more sources

Numerical solution of Advection–Diffusion Equation using Graph theoretic polynomial collocation method

open access: yesResults in Control and Optimization, 2023
Water is one of the main constituents on earth for a living. The Advection Diffusion Equation (ADE) serves as an essential water standard model in environmental engineering since water pollution seriously threatens all life.
Kumbinarasaiah S., Nirmala A.N.
doaj   +1 more source

Hosoya and Harary Polynomials of Hourglass and Rhombic Benzenoid Systems

open access: yesJournal 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

The n-Hosoya Polynomial of 𝑊𝛼⊠ Cβ [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2012
For a wheel  and a cycle  the composite graphs ⊠  is constructed from the union of  and  and  adding the edges  and  , where  is an edge of  and is an edge of . The n – diameter , the  n – Hosoya polynomial and the n – Wiener index of  ⊠  are obtained in
Ahmed Ali, Haveen Ahmed
doaj   +1 more source

Relationship Between the Hosoya Polynomial and the Edge-Hosoya Polynomial of Trees

open access: yes, 2016
We prove the relationship between the Hosoya polynomial and the edge-Hosoya polynomial of trees. The connection between the edge-hyper-Wiener index and the edge-Hosoya polynomial is established. With these results we also prove formulas for the computation of the edge-Wiener index and the edge-hyper-Wiener index of trees using the Wiener index and the ...
Tratnik, Niko, Pleteršek, Petra Žigert
openaire   +2 more sources

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