ðə kˈɑːksɛɾɚ ɡɹˈæf ɪz hˌaɪpoʊhˌæmɪltˈoʊniən: ɪt dʌznˌɑːt ɪtsˈɛlf hæv ɐ hˌæmɪltˈoʊniən sˈaɪkəl bˌʌt ˈɛvɹi ɡɹˈæf fˈɔːɹmd baɪ ɹᵻmˈuːvɪŋ ɐ sˈɪŋɡəl vˈɜːtɛks fɹʌm ɪɾ ɪz hˌæmɪltˈoʊniən.
The Coxeter graph is hypohamiltonian: it does not itself have a Hamiltonian cycle but every graph formed by removing a single vertex from it is Hamiltonian.