Solve Scheduling Problems With Relationship Coloring and Neo4j
Blog post from Neo4j
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.
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