Mymathware Shafii's math academy

Exploring the Fascinating World of Graph Symmetry When we think about symmetry, images of perfectly balanced objects or reflections often come to mind. Howev…

Ending the mathematical argument behind $0^0$.  $0^0$ is a century problem that many mathematics students find rather disturbing. So many people have proposed their proo…

MAT310 Assignment Photo Credit: tue.nl (1)   Show that every vertex of $G$ belongs to exactly one component of $G$. Hence show that every edge of $G…

Solution to MAT310 C.A Test (1a).   Let $R$ be a relation defined on the vertex set of a graph $G$ by $URV$, whenever $U,U\in{V(G)}$. Show that $R$ is an equivalence…

In my previous tutorial on MAT419(Graph Theory), i shared interesting videos by Dr.Serada Herke, who is a specialist in graph theory. In case you haven't been foll…

Below are some online Tutorials videos on graph theory by Dr.serada Herke. The videos can be watched online and downloaded as well. With this video we intend to cove…

Families of Graphs Yesterday i began my online tutorials on graph theory for MAT419 and MAT310 respectively,and i was able to look into some "basic concepts in gra…

Basic Concepts Of Graph Theory Today i will be discussing on Graph Theory in discrete mathematics,normally, when we hear the word graph we think of the x-y plane,but wh…

PROPOSITION Let $f$ and $g$ be a non-zero polynomial in $k(t)$ show that : there exists a unique polynomial such that (1) $d$ divides $f$ and $g$ (2) if $d$ divi…

Differences between Reducible and Irreducible Polynomial To distinguish between reducible and irreducible polynomial we use the properties of both polynomials which…