Hereditary classes of graphs
... The complement of C5 is not a perfect graph C5 is not a perfect graph The complement of C7 is not a perfect graph C7 is not a perfect graph C2k+1 is not a perfect graph The complement of C2k+1 is not a perfect graph Weak Berge Conjecture. A graph G is perfect if and only if its complement is perfect ...
... The complement of C5 is not a perfect graph C5 is not a perfect graph The complement of C7 is not a perfect graph C7 is not a perfect graph C2k+1 is not a perfect graph The complement of C2k+1 is not a perfect graph Weak Berge Conjecture. A graph G is perfect if and only if its complement is perfect ...
Complex Analysis
... everyone knew that there are no numbers such as −1 and −2, numbers whose square is negative. Such “numbers” exist only in one’s imagination, or as one philosopher opined, “the imaginary, (the) bosom child of complex mysticism.” Over time these “imaginary numbers” did not go away, mainly because math ...
... everyone knew that there are no numbers such as −1 and −2, numbers whose square is negative. Such “numbers” exist only in one’s imagination, or as one philosopher opined, “the imaginary, (the) bosom child of complex mysticism.” Over time these “imaginary numbers” did not go away, mainly because math ...
Lie groups, lecture notes
... of points a; b 2 X there exists a continous curve c W Œ0; 1 ! X with initial point a and end point b; i.e., c.0/ D a and c.1/ D b: If X is a manifold then X is connected if and only if X is arcwise connected. We can now formulate the promised results about connected commutative Lie groups. Theorem ...
... of points a; b 2 X there exists a continous curve c W Œ0; 1 ! X with initial point a and end point b; i.e., c.0/ D a and c.1/ D b: If X is a manifold then X is connected if and only if X is arcwise connected. We can now formulate the promised results about connected commutative Lie groups. Theorem ...