Enumerative Combinatorics: Recent Advances and Conjectures

Abstract

We have studied a branch of mathematics primarily concerned with
counting, arrangement, and combination of elements within sets, and their
properties with it's structures.This paper has a good collection of such Com-
binatorics, It deals with discrete objects and has connections with the areas
of mathematics and science.
We have collected all the conjectures and properties related with numbers
and the sets.Further we have discussed Kruskal -Katona and Alon- Tarsi con-
jecture connected with Graph Theory and their interdisciplinary approach.