Vertex edge connected from "summary" of Introduction to Graph Theory by Douglas Brent West
A graph is said to be vertex edge connected if for every pair of vertices in the graph, there is a path between them that contains at least one edge. In other words, a graph is vertex edge connected if it is possible to travel from any vertex to any other vertex by following a sequence of adjacent vertices connected by edges. This concept is important in understanding the connectivity of a graph and the relationships between its vertices and edges. Vertex edge connectivity is closely related to the concept of connectivity in graph theory. A graph is said to be connected if there is a path between every pair of vertices in the graph. Vertex edge connectivity takes this idea a step further by requiring that the path between two vertices contains at least one edge. This additional condition provides a more stringent measure of connectivity in a graph. To determine wheth...
Similar Posts
Electricity and binary code lie at the heart of computing
At the heart of computing is a fundamental concept that forms the very foundation of modern technology: electricity and binary ...
Seek out mentors and learn from them
The best way to accelerate your learning and growth is to seek out mentors who can guide you along the way. Learning from those...
Sorting algorithms arrange elements in a specified order
Sorting algorithms are essential tools in computer science, as they allow for arranging elements in a specified order. This ord...
Transform your mindset to achieve new results
To achieve new results in life, it is essential to first transform your mindset. Your mindset is the lens through which you vie...
Collective behavior emerges from interactions among agents
The concept of collective behavior emerging from interactions among agents is at the heart of understanding complex systems. Wh...
Holism is necessary
To understand the concept of holism, we must first recognize that the world is not just complicated, it is complex. In a comple...
Integrating IoT into existing infrastructure
Integrating IoT devices into existing infrastructure can be a challenging but rewarding process. It involves connecting new IoT...
The "traveling salesman" problem teaches us how to find the most efficient route
Imagine you're a salesman trying to visit a set of cities, each once and only once, on a single trip. How do you find the short...
Wide area networks (WANs) connect devices across long distances
Wide area networks (WANs) are a type of network that connects devices across long distances. Unlike local area networks (LANs) ...
WiFi allows wireless connectivity
WiFi, also known as Wireless Fidelity, is a technology that allows devices to connect to the internet without the need for phys...