Complete bipartite graphs without small rainbow stars (Q6094708)

In this paper, the authors study a structural theorem on the balanced complete bipartite graph \(K_{n,n}\) with no rainbow copy of \(K_{1,3}\). They utilize the results to prove the exact values of \(\operatorname{bgrk}(P_4 : H)\), \(\operatorname{bgrk}(P_5 : H)\), \(\operatorname{bgrk}(K_{1,3} : H)\), where \(H\) is a union of cycles and paths and stars. This paper is very technical.