2025年9月15日 · Graph Theory is a branch of mathematics concerned with the study of objects (called vertices or nodes) and the connections between them (called edges). A graph is a collection of …

The two discrete structures that we will cover are graphs and trees. A graph is a set of points, called nodes or vertices, which are interconnected by a set of lines called edges. The study of graphs, or …

2025年7月11日 · Walks, trails, paths, cycles, and circuits in a graph are sequences of vertices and edges with different properties. Some allow repetition of vertices and edges, while others do not. In …

2023年10月1日 · As an example of a non-graph theoretic property, consider "the number of times edges cross when the graph is drawn in the plane.'' Figure 5 1 5: Non-isomorphic graphs with degree …

Graph theory and probability make it possible to guarantee a reliable service, for example by finding diversions when a particular connection is busy. Graphs also play an important role in transportation …

2025年7月23日 · Graphs are fundamental data structures in various computer science applications, including network design, social network analysis, and route planning. Understanding graph …

Basics of Graph Theory 1 Basic notions A simple graph G = (V, E) consists of V , a nonempty set of vertices, and E, a set of unordered pairs of distinct elements of V called edges. Simple graphs have …

2025年7月12日 · Prerequisite: Graph Theory Basics – Set 1, Set 2 Regular Graph: A graph is called regular graph if degree of each vertex is equal. A graph is called K regular if degree of each vertex in …

2024年9月30日 · Matching (Graph Theory): In graph theory, matching is a fundamental concept used to describe a set of edges without common vertices. Matchings are used in various applications such …

A weighted graph is a graph in which each edge is assigned a numerical value, known as the weight. The weight represents the cost, distance, or any other metric that quantifies the relationship between …