𝔖 Bobbio Scriptorium
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Connected Detachments of Graphs and Generalized Euler Trails

✍ Scribed by Nash-Williams, C. S. J. A.


Book ID
120095466
Publisher
Oxford University Press
Year
1985
Tongue
English
Weight
314 KB
Volume
s2-31
Category
Article
ISSN
0024-6107

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## Abstract Let __G__ = (__V__,__E__) be a graph or digraph and __r__ : __V__ β†’ __Z__~+~. An __r__‐detachment of __G__ is a graph __H__ obtained by β€˜splitting’ each vertex Ξ½ ∈ __V__ into __r__(Ξ½) vertices. The vertices Ξ½~1~,…,Ξ½~__r__(Ξ½)~ obtained by splitting Ξ½ are called the __pieces__ of Ξ½ in __H