According to mathematical legend, Peter Sarnak and Noga Alon made a bet about optimal graphs in the late 1980s. They’ve now ...

This project aims to design a directed loan graph to track debts dynamically, and apply greedy algorithm to compute the most efficient way to settle debts, minimizing the number and value of ...

Mass is treated as a local disruption of entropy flow in a weighted graph, and gravitational effects arise as statistical gradients of energy potential. A numerical simulation of emergent gravity on ...

Abstract: A generating function is obtained for the nonrepetitive closed loops of a network with unidirectional elements; from this is derived an analogous function for the irreducible loops. Criteria ...