Even and odd

Menu File \ Page Setup \ thẻ Layout Đánh dấu chọn  Different odd and even. Nhấp OK Lúc này trên thanh Header hay Footer sẽ hiên lên Odd Page Header, nhập nội dung trên mỗi trang lẻ. Chuyển đến trang chẳn Even Page nhập nội dung sẽ hiện lên trên mỗi trang chẳn.

17p enter_12 04-07-2013 82 17   Download

The class of square (0, 1,−1)-matrices whose rows are nonzero and mutually orthogonal is studied. This class generalizes the classes of Hadamard and Weighing matrices. We prove that if there exists an n by n (0, 1,−1)-matrix whose rows are nonzero, mutually orthogonal and whose first row has no zeros, then n is not of the form pk, 2pk or 3p where p is an odd prime, and k is a positive integer.

9p thulanh5 12-09-2011 47 3   Download

We show that a graph has an orientation under which every circuit of even length is clockwise odd if and only if the graph contains no subgraph which is, after the contraction of at most one circuit of odd length, an even subdivision of K2,3. In fact we give a more general characterisation of graphs that have an orientation under which every even circuit has a prescribed clockwise parity. Moreover we show that this characterisation has an equivalent analogue for signed graphs.

20p thulanh5 12-09-2011 49 2   Download