Multicolored isomorphic spanning trees in complete graphs
Can a complete graph on an even number n (>4) of vertices be properly edge-colored with n-1 colors in such a way that the edges can be partitioned into edge disjoint colorful isomorphic spanning trees? A spanning treee is colorful if all n-1 colors occur among its edges. It is proved that this is...
Main Author: | Gregory Constantine |
---|---|
Format: | Article |
Language: | English |
Published: |
Discrete Mathematics & Theoretical Computer Science
2002-01-01
|
Series: | Discrete Mathematics & Theoretical Computer Science |
Subjects: | |
Online Access: | https://dmtcs.episciences.org/306/pdf |
Similar Items
-
Isomorphism of graph classes related to the circular-ones property
by: Andrew R. Curtis, et al.
Published: (2013-03-01) -
1-local 33/24-competitive Algorithm for Multicoloring Hexagonal Graphs
by: Rafal Witkowski, et al.
Published: (2013-11-01) -
Clustered Spanning Tree - Conditions for Feasibility
by: Nili Guttmann-Beck, et al.
Published: (2019-08-01) -
Structure of spanning trees on the two-dimensional Sierpinski gasket
by: Shu-Chiuan Chang, et al.
Published: (2011-01-01) -
Computing the number of h-edge spanning forests in complete bipartite graphs
by: Rebecca Stones
Published: (2014-05-01)