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Graphs are discrete structures that model relationships between objects. Graphs play an im-portant role in many areas of computer science. In this reading we introduce basic notions of graph theory that are important in computer science. In particular we look directed graphs, undirected graphs, trees and some applications of graphs. 12.1 Digraphs
CS 5002: Discrete Math ©Northeastern University Fall 2018 39 Example: Binary Search Trees? Binary search tree (BST) - a tree where nodes are organized in a sorted
Discrete Structures Lecture Notes Vladlen Koltun1 Winter 2008 1Computer Science Department, 353 Serra Mall, Gates 374, Stanford University, Stanford, CA 94305, USA; vladlen@stanford.edu.
CS 105: DIC on Discrete Structures Graph theory Matchings! Guest Lecture: Rohit Gurjar Lecture 33 Oct 21 2024 1. Topic 3: Graph theory Recap: 1.Basics:graphs, paths, cycles, walks, trails. 2.Eulerian graphs:characterization using degrees of vertices. 3.Bipartite graphs:characterization using odd length cycles.
Outline. 1De nitions. 2Theorems. 3Representations of Graphs: Data Structures. 4Traversal: Eulerian and Hamiltonian Graphs. 5Graph Optimization. 6Planarity and Colorings. MAT230 (Discrete Math) Graph Theory Fall 2019 2 / 72. De nitions. A graph G = (V;E) consists of a set V of vertices (also called nodes) and a set E of edges. De nition.
1 Introduction. These brief notes include major de nitions and theorems of the graph theory lecture held by Prof. Maria Axenovich at KIT in the winter term 2013/14. We neither prove nor motivate the results and de nitions. You can look up the proofs of the theorems in the book \Graph Theory" by Reinhard Diestel [4].
Graph theory is considered to have begun in 1736 with the publication of Euler’s solution of the Königsberg bridge problem. Euler (1707–1782) is known as the father of graph theory as well as topology. There are various types of graphs, each with its own definition.
