arXiv
Open Access
2015
Note on Perfect Forests
Gregory Gutin
Abstrak
A spanning subgraph $F$ of a graph $G$ is called perfect if $F$ is a forest, the degree $d_F(x)$ of each vertex $x$ in $F$ is odd, and each tree of $F$ is an induced subgraph of $G$. We provide a short proof of the following theorem of A.D. Scott (Graphs & Combin., 2001): a connected graph $G$ contains a perfect forest if and only if $G$ has an even number of vertices.
Topik & Kata Kunci
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Gregory Gutin
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2015
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- en
- Sumber Database
- arXiv
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- Open Access ✓