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 ...

Abstract: The discharging method is most well-known for its central role in the proof of the Four Color Theorem. This proof technique was extensively applied to study various graph coloring problems, ...

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 ...

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The RL trainings and testing python script in the RL-PGO folder and was evaluated in a miniconda environment. For GPU installation, steps are shown assuming training is conducted on an Nvidia RTX-3090 ...

Abstract: The reconstruction problem is an inverse problem and, in general, has no unique solution. We consider the problem of reconstructing all possible topologies with their edge resistance values ...

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 ...