Company
Date Published
Author
Nathan Smith
Word count
2730
Language
English
Hacker News points
None

Summary

The text discusses using relationship coloring and Neo4j to solve scheduling problems. Relationship coloring is a technique for assigning colors to relationships in a graph, where each color represents a time window, and no node can be connected to multiple relationships of the same color. The Misra and Gries algorithm is used to find a valid coloring for a graph by iteratively selecting colors that are free on key fan nodes. The algorithm starts with an uncolored relationship and finds a maximal Vizing fan, chooses two colors that are not adjacent to the first node in the fan, and then inverts the color of all relationships along the c-d path. Finally, it rotates the colors assigned to the relationships in the rotation fan. The text also discusses how to apply this algorithm to real-world problems such as scheduling football games and network communications. Neo4j is used to implement the algorithm and visualize the results.