The visibility graph V(X) of a discrete point set X R2 has vertex set X and an edge xy for every two points x, y X whenever there is no other point in X on the line segment betw...
We show that a random 4-regular graph asymptotically almost surely (a.a.s.) has chromatic number 3. The proof uses an efficient algorithm which a.a.s. 3colours a random 4-regular ...
A graph is said to be uniquely list colorable, if it admits a list assignment which induces a unique list coloring. We study uniquely list colorable graphs with a restriction on t...
Yashar Ganjali, Mohammad Ghebleh, Hossein Hajiabol...
In this work we consider the problem of approximating the number of relevant variables in a function given query access to the function. Since obtaining a multiplicative factor ap...
An elliptic curve random number generator (ECRNG) has been approved in a NIST standards and proposed for ANSI and SECG draft standards. This paper proves that, if three conjecture...