Abstract :

We go partying today - merry go around, cops and robbers, open a deck of paying cards, but mind you minors are not allowed :). Want to join? -- Some of the most intriguing conjectures in mathematics are from Combinatorics, in particular graph theory. Often it is the case that the simpler it is to state, the harder it is to solve. We present a few of these conjecuters which takes a few minutes to undertand (with their current progress), yet still stand tall unsolved. It is an invitation to research in graph theoryare you ready for the challenge?