Graphs to Graph Neural Networks: From Fundamentals to Applications — Part 1b: Graph Theory Fundamentals

Isaac Kargar
AIGuys
Published in
20 min readFeb 26, 2023

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In this post, which is the second post from my blog post series on Graphs, we will go over another 10 questions about graph theory fundamentals.

You can find the previous post here:

Let’s get started.

11. What is a complete graph, and how is it defined?

A complete graph is a type of graph where every pair of distinct vertices is connected by an edge. In other words, a complete graph is a simple undirected graph where each pair of vertices is adjacent. It is also known as a full graph or a fully connected graph.

A complete graph with n vertices is denoted by Kn, where n is the number of vertices. The total number of edges in a complete graph with n vertices is n(n-1)/2, since each of the n vertices is connected to n-1 other vertices, and we must divide by 2 to avoid counting each edge twice.

12. What is a subgraph in a graph, and how is it defined?

A subgraph of a graph is a graph that is formed by selecting a subset of the vertices andedges from the original graph.In other words, a subgraph of a graph G is a graph that can…

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Isaac Kargar
AIGuys

Co-Founder and CIO @ Resoniks | Ph.D. candidate at the Intelligent Robotics Group at Aalto University | https://kargarisaac.github.io/