We extend the basic theory concerning the cycle space of a finite graph to arbitrary infinite graphs, using as infinite cycles the homeomorphic images of the unit circle in the gr...
It is proved in this paper that every bipartite graphic sequence with the minimum degree 2 has a realization that admits a nowhere-zero 4-flow. This result implies a conjecture ...
We present a new method to show concentration of the upper tail of random variables that can be written as sums of variables with plenty of independence. We compare our method with...
Let p [1, [ and cp = maxa[0,1]((1 - a)ap + a(1 - a)p)1/p. We prove that the known upper bound lindiscp(A) cp for the Lp linear discrepancy of a totally unimodular matrix A is as...
Consider a k-element subset P of the plane. It is known that the maximum number of sets similar to P that can be found among n points in the plane is (n2 ) if and only if the cros...