This paper aims to organize the research generation process that led from structural philosophy through mathematical modeling to the exploration of an unsolved problem in graph theory as a case study.

A secondary purpose of this repository is to provide a generalized graph API that enables implementation of a very wide range of in-memory graph algorithms including basic methods for reading, writing ...

Graphs and networks are powerful tools for representing connections or relationships between objects or people. They belong to a branch of mathematics called graph theory which is quite distinct from ...

Unloading processes are common in natural systems. Intense unloading activities can alter the frictional equilibrium of faults and induce their instabilities. Understanding the slip behavior of faults ...

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One of the great episodes in the history of mathematics began on October 23, 1852. In a letter to Sir William Rowan Hamilton, Augustus De Morgan wrote, “A student of mine asked me today to give him a ...

In this work, we study the problem of decentralized multi-agent perimeter defense that asks for computing actions for defenders with local perceptions and communications to maximize the capture of ...