New posts in Graph Theory

Prove that the sum of minimum edge cover and maximum matching is the vertex count

$n$ people sitting on a circular table without repeating neighbour-sets

Coloring a $9\times9$ Board

How many disproofs are needed to complete an implication graph?

Childhood Games and topology?

How many subgraphs of $G$ are there in $K_n$?

Is it possible to have a spherical object with only hexagonal faces?

Prove every self-complementary graph with $4n+1$ vertices has at least one vertex of degree $2n$

Arranging Bubbles

In how many ways can you colorize the vertices of a grid with 4 colors so that every unit-square vertices are all of a different color?