Graph polynomials serve as robust algebraic encodings of the intricate combinatorial properties inherent to graphs. At the heart of this discipline lies the Tutte polynomial, an invariant that not ...

Class 9 Maths Syllabus 2025-2026: Download the latest CBSE Class 9 Maths Syllabus 2025-26 PDF. Check unit-wise chapters, marking scheme, internal assessment, and revised exam pattern.

Desmos Graphing Calculator: Experiment with functions and see graphs instantly These apps often use visuals, hints, and adaptive learning to make algebra fun and approachable. Explain problems out ...

In this paper we analyze the use of Chebyshev polynomials in distributed consensus applications. It is well known that the use of polynomials speeds up the convergence to the consensus in a ...

The main contribution is a new type of graph product, which we call the zig-zag product. Taking a product of a large graph with a small graph, the resulting graph inherits (roughly) its size from the ...

Due to the symbolic nature of the code and the size of the matrices undergoing the operations. I only managed to generate the characteristic polynomials C = det(A - xI) up to a degree of 34 and can be ...

Less Sensitivity to Data Perturbations: High-degree polynomials are highly sensitive to changes in data points. Even small adjustments in the input data can significantly affect the resulting ...

Their second iterates are holomorphic polynomials, but dependence on parameters is only real-analytic. The structure of hyperbolic components of the family of unicritical antiholomorphic polynomials ...

We find families of prime diagrams of knots with arbitrary extreme coefficients in their Jones polynomials. Some graph theory is presents in connection with this problem, ... On the Degree of the ...

Math shaken as 200-year-old polynomial rule falls to Geode number discovery. Instead of relying on radicals and irrational numbers, Wildberger’s new method uses power series with infinite x ...