New posts in graph-theory

Prove that every tournament contains at least one Hamiltonian path.

How to colour the US map with Yellow, Green, Red and Blue to minimize the number of states with the color of Green

Each person has at most 3 enemies in a group. Show that we can separate them into two groups where a person will have at most one enemy in the group.

Graph theory - planar and hamiltonian graphs

What condition need to be imposed on Havel-Hakimi theorem to check for connected graph?

Odd Number of Cats?

Can Mickey Mouse divide by $7$?

Prove that no graph has exactly $2$ spanning trees.

Is the intersection of two intervals again an interval?

A constrained topological sort?

Planar Realization of a Graph in Three-Space

Constructing a graph from a degree sequence

Maximum edges in a square free graph

Finding path-lengths by the power of Adjacency matrix of an undirected graph

Proof of Floyd Cycle Chasing (Tortoise and Hare)

How do you correctly reason that this directed graph is acyclic?

Normalizers of automorphism groups

How many nodes in the smallest $k$-dense graph?

the Nordhaus-Gaddum problems for chromatic number of graph and its complement

Smallest graph with automorphism group the quaternion $8$-group, $Q_8$