Series–parallel chromatic hypergraphs
✍ Scribed by Ioan Tomescu; Syed Ahtsham Ul Haq Bokhary
- Book ID
- 108112841
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 482 KB
- Volume
- 158
- Category
- Article
- ISSN
- 0166-218X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We consider a natural generalization of the chromatic polynomial of a graph. Let the symbol f (x 1 ,...,x m ) (H, λ) denote a number of different λ-colourings of a hypergraph H = (X, E), where X = {v 1 , . . . , v n } and E = {e 1 , . . . , e m }, satisfying that in an edge e i there are used at lea
By applying a sequence of edge-gluings on a set of cycles each of length k, we obtain a special series-parallel graph. The well-known k-gon tree theorem (see [l, lo]) states that these graphs form a X-equivalence class. Many of the other known classes of X-unique graphs and X-equivalence classes are