Results 31 to 40 of about 39,174 (128)
Edge Partitions of Optimal $2$-plane and $3$-plane Graphs
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
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Vertex-degree-based topological indices of uniform directed hypergraphs
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
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Unstructured spline spaces for isogeometric analysis based on spline manifolds
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
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Comparing degree–based energies of trees [PDF]
Ivan Gutman
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The Reformulated F-Index of Vertex and Edge F-Join of Graphs
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
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The topological cyclic Deligne conjecture
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
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On the vv-degree based first Zagreb index of graphs
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
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Verification of Some Topological Indices of Y-Junction Based Nanostructures by M-Polynomials
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
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Evaluation of Various Topological Indices of Flabellum Graphs
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
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Refined Chern-Simons Theory and Topological String [PDF]
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
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