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Combinatorial Gray codes-an updated survey
T Mütze - ar** non-crossing spanning trees
For a set P of n points in general position in the plane, the flip graph F (P) has a vertex for
each noncrossing spanning tree on P and an edge between any two spanning trees that can …
each noncrossing spanning tree on P and an edge between any two spanning trees that can …
Reconfiguration of plane trees in convex geometric graphs
A non-crossing spanning tree of a set of points in the plane is a spanning tree whose edges
pairwise do not cross. Avis and Fukuda in 1996 proved that there always exists a flip …
pairwise do not cross. Avis and Fukuda in 1996 proved that there always exists a flip …
Reconfiguration of non-crossing spanning trees
For a set $ P $ of $ n $ points in the plane in general position, a non-crossing spanning tree
is a spanning tree of the points where every edge is a straight-line segment between a pair …
is a spanning tree of the points where every edge is a straight-line segment between a pair …
A note on the flip distance between non-crossing spanning trees
We consider spanning trees of $ n $ points in convex position whose edges are pairwise
non-crossing. Applying a flip to such a tree consists in adding an edge and removing …
non-crossing. Applying a flip to such a tree consists in adding an edge and removing …
On the connectivity of the flip graph of plane spanning paths
Flip graphs of non-crossing configurations in the plane are widely studied objects, eg, flip
graph of triangulations, spanning trees, Hamiltonian cycles, and perfect matchings …
graph of triangulations, spanning trees, Hamiltonian cycles, and perfect matchings …
Sequences of spanning trees and a fixed tree theorem
Let TS be the set of all crossing-free spanning trees of a planar n-point set S. We prove that
TS contains, for each of its members T, a length-decreasing sequence of trees T0,…, Tk …
TS contains, for each of its members T, a length-decreasing sequence of trees T0,…, Tk …
Graphs of non-crossing perfect matchings
Let P n be a set of n= 2 m points that are the vertices of a convex polygon, and let ℳ m be the
graph having as vertices all the perfect matchings in the point set P n whose edges are …
graph having as vertices all the perfect matchings in the point set P n whose edges are …
Transition operations over plane trees
The operation of transforming one spanning tree into another by replacing an edge has
been considered widely, both for general and planar straight-line graphs. For the latter …
been considered widely, both for general and planar straight-line graphs. For the latter …