Taylor Emma

A senior editor for The Mars that left the company to join the team of SenseCentral as a news editor and content creator. An artist by nature who enjoys video games, guitars, action figures, cooking, painting, drawing and good music.
2363 Articles

Pólya–Redfield Counting

We have talked about the number of ways to properly color a…

Taylor Emma

Binomial theorem

Binomial theorem, statement that for any positive integer n, the nth power of the sum…

Taylor Emma

Pascal’s Identity

Pascal's identity, first derived by Blaise Pascal in 17th century, states that the…

Taylor Emma

Permutations

A permutation is an arrangement of some elements in which order matters. In other…

Taylor Emma

Spanning Tree of a Graph

Spanning tree of a graph is a subgraph of it which forms a…

Taylor Emma

The Inclusion-Exclusion Principle

From the First Principle of Counting we have arrived at the commutativity of addition, which was…

Taylor Emma

Rooted Trees

A rooted tree is a tree with a special vertex labelled as the "root"…

Taylor Emma

Chromatic Number

Chromatic number of a graph is the minimum value of kk for which the graph…

Taylor Emma

Non-planar Graphs

Not all graphs are planar. If there are too many edges and…

Taylor Emma

Planar Graphs

When is it possible to draw a graph so that none of…

Taylor Emma