## Decompositions of regular bipartite graphs.(English)Zbl 0754.05057

Summary: We discuss isomorphic decompositions of regular bipartite graphs into trees and forests. We prove that: (1) there is a wide class of $$r$$- regular bipartite graphs that are decomposable into any tree of size $$r$$, (2) every $$r$$-regular bipartite graph decomposes into any double star of size $$r$$, and (3) every 4-regular bipartite graph decomposes into paths $$P_ 4$$.

### MSC:

 05C70 Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) 05C05 Trees

### Keywords:

decompositions; regular bipartite graphs
Full Text:

### References:

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