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Packing Three Copies of a Tree into a Complete Graph

✍ Scribed by Hong Wang; Norbert Sauer


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
161 KB
Volume
14
Category
Article
ISSN
0195-6698

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πŸ“œ SIMILAR VOLUMES


Packing of three copies of a graph
✍ Wang, Hong; Sauer, Norbert πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 460 KB πŸ‘ 1 views

A graph of order n is said to be 3-placeable if there are three edge-disjoint copies of this graph in K,,. An ( n , n -1)-graph is a graph of order n with n -1 edges. In this paper w e characterize all the (n, n -1)-graphs which contain no cycles of length 3 or 4 and which are 3-placeable.

Packing two copies of a sparse graph int
✍ Hong Wang πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 132 KB

## Abstract We show that if a tree __T__ is not a star, then there is an embedding Οƒ of __T__ in the complement of __T__ such that the maximum degree of __T__βˆͺΟƒ(__T__) is at most Ξ”(__T__)+2. We also show that if __G__ is a graph of order __n__ with __n__βˆ’1 edges, then with several exceptions, there

Packing two bipartite graphs into a comp
✍ Wang, Hong πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 131 KB πŸ‘ 3 views

For two integers a and b, we say that a bipartite graph G admits an (a, b)bipartition if G has a bipartition (X, Y ) such that |X| = a and |Y | = b. We say that two bipartite graphs G and H are compatible if, for some integers a and b, both G and H admit (a, b)-bipartitions. In this paper, we prove

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## Abstract In this note we show how coverings induced by voltage assignments can be used to produce packings of disjoint copies of the Hoffman‐Singleton graph into __K__~50~. Β© 2003 Wiley Periodicals, Inc. J Combin Designs 11: 408–412, 2003; Published online in Wiley InterScience (www.interscience

Packing a tree with a graph of the same
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## Abstract We prove that if __T__ is a tree of order __p__ β©Ύ 5 and __G__ is a graph of order __p__ and size __p__ ‐ 1 such that neither __T__ nor __G__ is a star, then __T__ can be embedded in G, the complement of __G__.

Packing the Steiner trees of a graph
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