شماره ركورد كنفرانس :
4079
عنوان مقاله :
A linear algebraic approach to 4–cycle systems
پديدآورندگان :
Khosravi .M khosravi−m@uk.ac.ir Shahid Bahonar University of Kerman , Mahmoodian .E.S emahmood@sharif.edu Sharif University of Technology , Rashidi .R saeedeh.rashidi@uk.ac.ir Shahid Bahonar University of Kerman
كليدواژه :
four , cycle system , trades , null space of matrix
عنوان كنفرانس :
چهل و هفتمين كنفرانس رياضي ايران
چكيده فارسي :
A 4-cycle system is a partition of the edges of the complete graph Kn into 4-cycles. The main
purpose of this note, is to move from one 4-cycle system to another one, using trades of volume two
which are called “double diamonds”. To do this, we use some linear algebraic techniques. We
show that every trade is an element of the kernel of a special pair inclusion matrix M, and there
exits a basis for the kernel of M consisting of just double diamonds
