Graph theory basics

41 Views Asked by At

I have a question just to verify myself with some graph theory questions as I have forgotten most of my graph theory since highschool. This is the exercise i found from my old high school archives:

This is what i think the answers are:

The first three are all Eulerian Circuits, then Hamiltonian Circuit then Hamiltonian Path.

I basically get like the general idea behind what circuits paths and are but it is so confusing when I have to distinguish the different kinds like I have no problem with like proofs to graph theory results but these kind of questions confuse me so much.

Could anyone help me check my answers?

( I cannot seem to find the homework and exercises tag).

enter image description here

1

There are 1 best solutions below

1
On BEST ANSWER

According to what I understood, the first four are all returning to where they begun, so they are all circuits.

$a-$Eulerian Circuit

$b-$Hamiltonian Circuit

$c-$Eulerian Circuit

$d-$Hamiltonian Circuit

$e-$Hamiltonian Path