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 ...

Abstract: Graph structures have proved computationally cumbersome for pattern analysis. The reason for this is that before graphs can be converted to pattern vectors, correspondences must be ...

This is the first book to comprehensively cover chromatic polynomials of graphs. It includes most of the known results and unsolved problems in the area of chromatic polynomials. Dividing the book ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

An illustration of a magnifying glass. An illustration of a magnifying glass.

ABSTRACT: Brualdi and Goldwasser characterized the Laplacian permanents of trees. In this paper, we study the Laplacian permanents of trees. We characterize some Laplacian permanents of trees. The ...

Hyperbola and truncus functions are classified as power functions due to their distinct forms, characterised by negative exponents. Unlike polynomials, this form results in unique graphs that feature ...

Polynomials and power functions are the foundation for modelling non-linear relationships. Polynomial functions such as quadratic, cubic and quartic model variables raised to exponents of different ...

Abstract: We develop a novel method for extracting graph characteristics from edge-weighted graphs, based on an extension of the Ihara zeta function from unweighted to edge-weighted graphs. This is ...

This article will guide you with the NCERT Solutions for Class 10 Maths Chapter 2 - Polynomial. You will get detailed and accurate solutions to all the NCERT ...

CBSE Class 10 Maths Chapter 2 Practice Questions 2025: The Central Board of Secondary Education (CBSE) has released the competency-focused practice questions for students of class 10. Students ...