# Questions tagged [graph-theory]

Questions about the branch of combinatorics called graph theory (not to be used for questions concerning the graph of a function). This tag can be further specialized via using it in combination with more specialized tags such as extremal-graph-theory, spectral-graph-theory, algebraic-graph-theory, topological-graph-theory, random-graphs, graph-colorings and several others.

**67**

**6**answers

### Which graphs are Cayley graphs?

**63**

**4**answers

### What are the implications of the new quasi-polynomial time solution for the Graph Isomorphism problem?

**62**

**9**answers

### What is a continuous path?

**56**

**4**answers

### What is a chess piece mathematically?

**54**

**17**answers

### Generalizations of the Four-Color theorem

**53**

**4**answers

### Connectivity of the Erd?s–Rényi random graph

**49**

**1**answer

### Why are there 1024 Hamiltonian cycles on an icosahedron?

**48**

**4**answers

### Do there exist chess positions that require exponentially many moves to reach?

**46**

**3**answers

### Does knight behave like a king in his infinite odyssey?

**44**

**0**answers

### Does every triangle-free graph with maximum degree at most 6 have a 5-colouring?

**43**

**4**answers

### Why are planar graphs so exceptional?

**43**

**3**answers

### History of the four-colour problem

**42**

**6**answers

### Is it easy to produce hard-to-color graphs?

**41**

**1**answer

### Can't one walk to infinity on the prime numbers with finitely many distinct affine steps?

**40**

**15**answers