𝔖 Bobbio Scriptorium
✦   LIBER   ✦

From Graphs to Spatial Graphs

✍ Scribed by Dale, M.R.T.; Fortin, M.-J.


Book ID
115486473
Publisher
Annual Reviews
Year
2010
Tongue
English
Weight
562 KB
Volume
41
Category
Article
ISSN
1543-592X

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Let Ξ“ be a regular graph with n vertices, diameter D, and d + 1 In a previous paper, the authors showed that if P (Ξ») > n -1, then D ≀ d -1, where P is the polynomial of degree d-1 which takes alternating values Β±1 at Ξ» 1 , . . . , Ξ» d . The graphs satisfying P (Ξ») = n -1, called boundary graphs, h

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## Abstract We show that the 56‐vertex Klein cubic graph Ξ“β€² can be obtained from the 28‐vertex Coxeter cubic graph Ξ“ by β€œzipping” adequately the squares of the 24 7‐cycles of Ξ“ endowed with an orientation obtained by considering Ξ“ as a π’žβ€ultrahomogeneous digraph, where π’ž is the collection formed by