Find two connected graphs, with the same score. One of them having hamiltonian cycle and the other not.
124666
Hamiltonian and non-Hamiltonian connected graph using the same degree sequence
150508
∗∗Prove that each graph with an even number of vertices has two vertices with an even number of common neighbors.
100289
Question about self-complementary graphs
113680
Finding intersection of two graphs
68638
Show that if $n\geq 3$, the complete graph on $n$ vertices $K_n$ contains a Hamiltonian cycle.
76104
Bipartite graph. average degree. Euler circuit.
99781
Proof that any simple connected graph has at least 2 non-cut vertices.
72417
Bipartite graphs
44563
Weakly Connected Graphs
154666
similar matrices have same eigenvalue... stuck
31626
proving that a graph is hamiltonian (Ore's theorem)
51268
Why can't a Meredith Graph be Hamiltonian?
84654
The graph of xy = 1 is connected or not
146933
Proving bipartition in a connected planar graph
94928
Every $k$ vertices in an $k$ - connected graph are contained in a cycle.
79972
Determining whether two $k$-chromatic graphs are isomorphic (respecting vertex coloration)
138465
Graph Coloring and Complete Graph