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Monthly Archives: August 2020
Why Venn diagram of 4 random sets does not exist
We see Venn diagram representation of 3 sets all the time. But when it comes to 4 sets its not possible to show all possible intersection on a paper because the intersection is not planar. We use algebraic techniques like … Continue reading
Proof of Euler’s formula for Planar Graph
Euler’s formula for Planar Graph is one of the most important formula in Graph theory and it can be easily proved by Mathematical Induction. The main point in the proof is as we add an extra edge it can either … Continue reading
Posted in Combinatorics, Graph Theory, Mathematical Induction, Proof, Topology
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Fun Warm Up Problem
There is a forest and among the many trees there is an apple tree. Then there happened a hurricane. Before the hurricane there were apples on the tree, after the hurricane there were no apples on the tree and no … Continue reading
Some Hasse Diagrams and their Posets
Hasse Diagrams are a compact way of representing Posets. We know that for a set to be Poset it has to be Reflexive, Antisymmetric and Transitive. One should know how to convert back and forth between Hasse diagram and the … Continue reading
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