Calculating the probability of a disease outbreak becoming a pandemic.
If the probability of a graph NOT having property is less than 1, then at least one graph with property must exist. Graph Theory & Probability Graph Theory
This field studies graphs generated by a random process. The most famous model is the , denoted as : The number of vertices in the graph. : The probability that any two nodes are connected. Thresholds: The specific value of Calculating the probability of a disease outbreak becoming
Predicting how information or "viral" content spreads. Graph Theory & Probability Graph Theory
Often used to find lower bounds for Ramsey numbers (the size a graph must be to guarantee certain patterns). Real-World Applications
Designing efficient algorithms for data routing and machine learning.