- In the
mathematical field of
graph theory, a
graph G is said to be
hypohamiltonian if G
itself does not have a
Hamiltonian cycle but
every graph formed...
- is
hypohamiltonian,
meaning that
although it has no
Hamiltonian cycle,
deleting any
vertex makes it Hamiltonian, and is the
smallest hypohamiltonian graph...
- path problem, the com****tional
problem of
finding Hamiltonian paths Hypohamiltonian graph, a non-Hamiltonian
graph in
which every vertex-deleted subgraph...
- It has book
thickness 3 and
queue number 2. The
Coxeter graph is
hypohamiltonian: it does not
itself have a
Hamiltonian cycle but
every graph formed...
- 20
vertices (sequence A130315 in the OEIS). The
flower snark J5 is
hypohamiltonian. J3 is a
trivial variation of the
Petersen graph formed by replacing...
-
graph is, in
graph theory, a
graph on 42
vertices with 67 edges. It is
hypohamiltonian,
which means that it does not
itself have a
Hamiltonian cycle but every...
- Hamiltonian. Grinberg's
theorem has also been used to find
planar hypohamiltonian graphs,
graphs that are not
Hamiltonian but that can be made Hamiltonian...
- in
graph theory, a
hypohamiltonian graph with 16
vertices and 27 edges. It has book
thickness 3 and
queue number 2.
Hypohamiltonian graphs were
first studied...
- the
sense that they are
hypohamiltonian graphs: the
removal of any
single vertex leaves a
Hamiltonian subgraph. A
hypohamiltonian snark must be bicritical:...
-
number 3,
diameter 4 and
girth 5. They are non-hamiltonian but are
hypohamiltonian. Both have book
thickness 3 and
queue number 2. The
automorphism group...
