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Configurations and graphs—II

✍ Scribed by Harald Gropp

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
476 KB
Volume
164
Category
Article
ISSN
0012-365X

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✦ Synopsis

The aim of this paper is to give a second survey on relations between graphs and configurations in the sense of [10]. It contains some further relations as well as additional remarks to topics which were mentioned in the first survey. In particular, a new and quite general connection concerning the existence of certain configurations and the blocking set property is described. Since the relations between graphs and configurations are also important from a historical point of view the last part contains some historical facts and some general background of the history of configurations.

📜 SIMILAR VOLUMES

Configurations and graphs
Configurations and graphs
✍ Harald Gropp 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 509 KB

The main aim of this paper is not to present new results but to give a short survey on some relations between graphs and configurations. In the first part the analogy between configurations and regular bipartite graphs is described. Some instances of parallel research in graph theory and configurat

On disjoint configurations in infinite g
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✍ Thomas Andreae 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 87 KB

## Abstract For a graph __A__ and a positive integer __n__, let __nA__ denote the union of __n__ disjoint copies of __A__; similarly, the union of ℵ~0~ disjoint copies of __A__ is referred to as ℵ~0~__A__. It is shown that there exist (connected) graphs __A__ and __G__ such that __nA__ is a minor o