New posts in graph-theory

What's the derivative of degree (Laplacian) matrix with respect to adjacency matrix?

Is there a reason why the number of non-isomorphic graphs with $v=4$ is odd?

Do your friends on average have more friends than you do?

Compute the minimal number of swaps to order a sequence

Telling two paths apart in a road network graph?

How many Hamiltonian cycles are there in a complete graph $K_n$ ($n\geq 3$) Why?

How can I show/understand a graph is vertex-transitive?

Number of grid points outside a rook circuit

Consecutive edges on Eulerian Circuit

Can an algorithm be part of a proof?

If $deg(u)+deg(v) \ge n-1$ for $u$ and $v$ are non adjacent vertices, then G has Hamiltonian path

What's the name of this graph?

Self-avoiding walk on $\mathbb{Z}$

Results in graph theory proved using other areas of math, and vice versa

Which vertex-transitive planar graphs represent non-self-intersecting polyhedra?

If $G$ is biconnected and $\delta(G) \geq 3 \Rightarrow \exists v: G-v$ is also biconnected.

What are all conditions on a finite sequence $x_1,x_2,...,x_m$ such that it is the sequence of orders of elements of a group?

What can we say about the graph when many eigenvalues of the Laplacian are equal to 1?

Groups and generating sets

Does every "balloon" (dragon, tadpole, canoe paddle) admit a graceful labeling?