The concept of a line graph is generalized to that of a path graph. The path graph f,(G) of a graph G is obtained by representing the paths Pk in G by vertices and joining two vertices whenever the corresponding paths f k in G form a path f k + , or a cycle C,. f,-graphs are characterized and invest
✦ LIBER ✦
Path-Bicolorable Graphs
✍ Scribed by Andreas Brandstädt; Martin Charles Golumbic; Van Bang Le; Marina Lipshteyn
- Publisher
- Springer Japan
- Year
- 2011
- Tongue
- English
- Weight
- 344 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0911-0119
No coin nor oath required. For personal study only.
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## Abstract The Hamiltonian path graph __H(G)__ of a graph __G__ is that graph having the same vertex set as __G__ and in which two vertices __u__ and __v__ are adjacent if and only if __G__ contains a Hamiltonian __u‐v__ path. A characterization of Hamiltonian graphs isomorphic to their Hamiltonia
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