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math.GR2023
Algorithms for the Minimum Generating Set Problem
Bireswar Das, Dhara Thakkar
For a finite group , the size of a minimum generating set of is denoted by . Given a finite group and an integer , deciding if is known as the mini…
cs.DS2023
The Isomorphism Problem of Power Graphs and a Question of Cameron
Bireswar Das, Jinia Ghosh, Anant Kumar
The isomorphism problem for graphs (GI) and the isomorphism problem for groups (GrISO) have been studied extensively by researchers. The current best algorithms for both these prob…
cs.DS2023
Linear Space Data Structures for Finite Groups with Constant Query-time
Bireswar Das, Anant Kumar, Shivdutt Sharma +1
A finite group of order can be represented by its Cayley table. In the word-RAM model the Cayley table of a group of order can be stored using words and can be use…