ABSTRACT: Let G be a graph and A=(aij)n×n be the adjacency matrix of G, the eigenvalues of A are said to be the eigenvalues of the graph G, and to form the spectrum of this graph. The numbers of ...
The course provides an introduction to selected topics in discrete mathematics; graph theory, combinatorics, final bodies and code theory. know basic definitions and results in graph theory, such as ...
Introduction to Logic: Logical Operators -- negation, conjunction, disjunction, XOR, conditional, biconditional. Precedence of logical operators. The conditional operator, examples of translating ...
This repository contains the solution for Lab 4: Graphs and Trees, assigned for the (CSE214) Discrete Structures course. The assignment consists of three main tasks related to graphs and trees. Each ...
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 ...
For 0 ≤ α ≤ 1, Nikiforov proposed to study the spectral properties of the family of matrices Aα(G) = αD(G)+(1−α)A(G) of a graph G, where D(G) is the degree diagonal matrix and A(G) is the adjacency ...
Discrete Mathematics is a subject that has gained prominence in recent times. Unlike regular Maths, where we deal with real numbers that vary continuously, Discrete Mathematics deals with logic that ...
Covers topics in discrete mathematics with applications within computer science. Some of the topics to be covered include graphs and matrices; principles of logic and induction; number theory; ...
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