𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The menger-like property of the tree-width of infinite graphs

✍ Scribed by Igor Kříž; Robin Thomas


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
395 KB
Volume
52
Category
Article
ISSN
0095-8956

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Core-like properties of infinite graphs
✍ B. Bauslaugh 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 554 KB

We define several properties of infinite graphs (structures) which are analogous to the property of being a core in a finite graph. We describe completely the relationships between these properties. We also show which of these properties are invariant under homomorphic equivalence.

The plane-width of graphs
✍ Marcin Kamiński; Paul Medvedev; Martin Milanič 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 192 KB

Map the vertices of a graph to (not necessarily distinct) points of the plane so that two adjacent vertices are mapped at least unit distance apart. The plane-width of a graph is the minimum diameter of the image of its vertex set over all such mappings. We establish a relation between the plane-wid

On the girth of infinite graphs
✍ Norbert Seifter 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 599 KB

Let X be an infinite k-valent graph with polynomial growth of degree d, i.e. there is an integer d and a constant c such that fx(n) 3, d> 1, 123, there exist k-valent connected graphs with polynomial growth of degree d and girth greater than 1. This means that in general the girth of graphs with pol

The center of an infinite graph
✍ L. Boza; A. Diánez; A. Márquez 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 344 KB

In this note we extend the notion of the center of a graph to infinite graphs. Thus, a vertex is in the center of the infinite graph G if it is in the center of an increasing family of finite subgraphs covering G. We give different characterizations of when a vertex is in the center of an infinite g