Lambert function is defined as the multivalued inverse relation of the function $f(w)=w\exp(w)$. We will study some of its important properties and prove some bounds.

Finding top k items  and finding heavy hitters in data streams are two well studied problems in streaming algorithms. We shall discuss two deterministic streaming algorithms, one for each of these two problems.

Submodular functions are important to study as they arise in many context as flow problems, game theoretic application etc. One important aspect to study about submodular function is the submodular function minimization.

Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vec

Some of the oldest combinatorial objects, whose studies apparently goes back to ancient times, are the Latin squares.