شماره ركورد كنفرانس :
3503
عنوان مقاله :
A linear algebraic approach to 4–cycle systems
Author/Authors :
M. Khosravi Shahid Bahonar University of Kerman , E. S. Mahmoodian Sharif University of Technology , S. Rashidi Shahid Bahonar University of Kerman
كليدواژه :
trades , null space of matrix , 4–cycle system
عنوان كنفرانس :
چهل و هفتمين كنفرانس رياضي ايران
چكيده لاتين :
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
2 (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
