Justin Pees's Contact Details

Justin Pees's Company Details

CombinatoRoyal Inc.

Montreal, Quebec, Canada • 2 Employees
Information Technology & Services

CombinatoRoyal is a Research & Development (R&D) company founded in 2011 that has been carrying out its research over the last 16 years specializing in Graph Theory and Covering Designs. CombinatoRoyal has a very thorough and expedient approach for finding these non-isomorphic covering designs that are stored in its database for easy access and retrieval.CombinatoRoyal's expertise in Graph Theory and Graph Isomorphism has evolved to the extent where today all the non-isomorphic covering designs found are resolved by CombinatoRoyal's invariants. There is no "Canonization" process for resolving any of the non-isomorphic covering designs found.Two distinct algorithms are used in the searches, namely for t-designs and non t-designs.All the non-isomorphic designs found for any parameter, have the exact same starting "entry" point and ending "exit" point.CombinatoRoyal is committed to and envisions that in the future it will be able to simulate searches in the natural and orderly fashion that a "Brute Force Search" would be carried and as such all the non-isomorphic covering designs found would be at their Lexicographically Smallest Graph Equivalent. A "Brute Force Search" would in essence allow for completely modular and asynchronous searches that could be distributed on different computers without synchronization.CombinatoRoyal has also created a formula that expedites the process of finding and proving the lowest bounds for any covering design parameter without exceptions. The formula is continuously expandable and scalable for all V, K , t and lambda and compliments Graph Isomorphism.