Suppose G is a graph on n vertices with minimum degree r. Using standard random methods it is shown that there exists a two-coloring of the vertices of G with colors, +1 and &1, such that all closed neighborhoods contain more 1's than &1's, and all together the number of 1's does not exceed the numb
Regular matroid decomposition via signed graphs
β Scribed by Jim Geelen; Bert Gerards
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 129 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
β¦ Synopsis
The key to Seymour's Regular Matroid Decomposition Theorem is his result that each 3-connected regular matroid with no R 10or R 12 -minor is graphic or cographic. We present a proof of this in terms of signed graphs.
π SIMILAR VOLUMES
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