How to find the crossing number of a hypercube Q4? I'm struggling to find the crossing number of Q4, I think I have trouble visualizing the cube and finding the crossing number. Any idea what theorem or lemma I can use?
The Crossing number of Hypercube Q4 is 8.
Q4 can be constructed using two disjoint Q3 which is having a crossing number of 0, by adding an edge from each vertex in one copy of Q3 to the corresponding vertex in the other copy.
The lower bound for the crossing number of Qn is 4n/20 + O(4n/20).
The upper bound for the crossing number of Qn is (165/1024)*(4^n).
The Crossing number of Hypercube Q4 is 8.
Q4 can be constructed using two disjoint Q3 which is having a crossing number of 0, by adding an edge from each vertex in one copy of Q3 to the corresponding vertex in the other copy.
The lower bound for the crossing number of Qn is 4n/20 + O(4n/20).
The upper bound for the crossing number of Qn is (165/1024)*(4^n).