Regular generalized polyomino graphs
β Scribed by Shou-Zhong Wang; Rong Si Chen
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 237 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0259-9791
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π SIMILAR VOLUMES
For each nonnegative integer r, we determine a set of graph operations such that all r-regular loopless graphs can be generated from the smallest r-regular loopless graphs by using these operations. We also discuss possible extensions of this result to r-regular graphs of girth at least g, for each
## Abstract For __k__=0, 1, 2, 3, 4, 5, let ${\cal{P}}\_{k}$ be the class of __k__ βedgeβconnected 5βregular planar graphs. In this paper, graph operations are introduced that generate all graphs in each ${\cal{P}}\_{k}$. Β© 2009 Wiley Periodicals, Inc. J Graph Theory 61: 219β240, 2009