Results 31 to 40 of about 39,174 (128)

Edge Partitions of Optimal $2$-plane and $3$-plane Graphs

open access: yes, 2018
A topological graph is a graph drawn in the plane. A topological graph is $k$-plane, $k>0$, if each edge is crossed at most $k$ times. We study the problem of partitioning the edges of a $k$-plane graph such that each partite set forms a graph with a ...
CSA Nash-Williams   +12 more
core   +1 more source

Vertex-degree-based topological indices of uniform directed hypergraphs

open access: yesArab Journal of Basic and Applied Sciences
Modelling a chemical network is crucial for understanding the complex interactions and dynamics within a chemical system, allowing for precise predictions of reaction behaviour under various conditions.
Shashwath S. Shetty, K. Arathi Bhat
doaj   +1 more source

Unstructured spline spaces for isogeometric analysis based on spline manifolds

open access: yes, 2015
Based on spline manifolds we introduce and study a mathematical framework for analysis-suitable unstructured B-spline spaces. In this setting the parameter domain has a manifold structure, which allows for the definition of function spaces that have a ...
Sangalli, Giancarlo   +2 more
core   +1 more source

Comparing degree–based energies of trees [PDF]

open access: yesContributions to Mathematics, 2021
Ivan Gutman
doaj   +1 more source

The Reformulated F-Index of Vertex and Edge F-Join of Graphs

open access: yesJournal of Chemistry, 2022
The valency based topological indices (TIs) are defined by algebraic functions as the chemical graph theory tools in which the structural parameters are used as input and the output is related with the topology of chemical species.
Durbar Maji   +2 more
doaj   +1 more source

The topological cyclic Deligne conjecture

open access: yes, 2009
Let O be a cyclic topological operad with multiplication. In the framework of the cosimplicial machinery by McClure and Smith, we prove that the totalization of the cosimplicial space associated to O has an action of an operad equivalent to the framed ...
Salvatore, Paolo
core   +1 more source

On the vv-degree based first Zagreb index of graphs

open access: yesAKCE International Journal of Graphs and Combinatorics
A topological index is a graph invariant applicable in chemistry. The first Zagreb index is a topological index based on the vertex degrees of molecular graphs. For any graph G, the first Zagreb index [Formula: see text] is equal to the sum of squares of
L. Anusha   +2 more
doaj   +1 more source

Verification of Some Topological Indices of Y-Junction Based Nanostructures by M-Polynomials

open access: yesJournal of Mathematics, 2022
The concept of M-polynomials determines the algebraic form of a system or network. It creates a structure into an algebraic equation and makes work easy to do on such a structure.
Muhammad Azeem   +3 more
doaj   +1 more source

Evaluation of Various Topological Indices of Flabellum Graphs

open access: yesMathematics, 2023
Graph theory serves as an engaging arena for the investigation of proof methods within the field of discrete mathematics, and its findings find practical utility in numerous scientific domains. Chemical graph theory is a specialized branch of mathematics
Xiaolong Shi   +4 more
doaj   +1 more source

Refined Chern-Simons Theory and Topological String [PDF]

open access: yes, 2012
We show that refined Chern-Simons theory and large N duality can be used to study the refined topological string with and without branes. We derive the refined topological vertex of hep-th/0701156 and hep-th/0502061 from a link invariant of the refined ...
Aganagic, Mina, Shakirov, Shamil
core  

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