- and Ore's
theorems can also be
derived from Pósa's
theorem (1962).
Hamiltonicity has been
widely studied with
relation to
various parameters such as...
-
hypercube graph by
joining two
smaller hypercubes with a matching.
Hamiltonicity of the
hypercube is
tightly related to the
theory of Gray codes. More...
-
leaving the
other two
members unchanged.
There has been much
research on
Hamiltonicity of
cubic graphs. In 1880, P.G. Tait
conjectured that
every cubic polyhedral...
-
Every maximal outerplanar graph satisfies a
stronger condition than
Hamiltonicity: it is node pancyclic,
meaning that for
every vertex v and
every k in...
- \{v_{0}v_{1},v_{1}v_{2},\dotsc ,v_{i-1}v_{i},v_{i}u,uv_{0}\}} is a tour (
Hamiltonicity check) else ( i {\displaystyle i} is odd): If g > c ( v i v 0 ) {\displaystyle...
- Hamiltonian. He
conjectured that the
connection between toughness and
Hamiltonicity goes in both directions: that
there exists a
threshold t such that every...
-
length of the cycle. They also
proposed a
conjecture concerning cyclic Hamiltonicity of graphs.
Their conjecture was
proved in 2005. With
Brigitte Servatius...
- In
graph theory, a
branch of mathematics, the kth
power Gk of an
undirected graph G is
another graph that has the same set of vertices, but in
which two...
- In
geometric graph theory, a
branch of mathematics, a
polyhedral graph is the
undirected graph formed from the
vertices and
edges of a
convex polyhedron...
- In
graph theory, a
branch of mathematics, the
Herschel graph is a
bipartite undirected graph with 11
vertices and 18 edges. It is a
polyhedral graph (the...
