𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On cuts and matchings in planar graphs

✍ Scribed by Francisco Barahona


Publisher
Springer-Verlag
Year
1993
Tongue
English
Weight
877 KB
Volume
60
Category
Article
ISSN
0025-5610

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Extending matchings in planar graphs IV
✍ Michael D. Plummer πŸ“‚ Article πŸ“… 1992 πŸ› Elsevier Science 🌐 English βš– 973 KB

Plummer, M.D., Extending matchings in planar graphs IV, Discrete Mathematics 109 (1992) 207-219. The structure of certain non-Zextendable planar graphs is studied first. In particular, 4-connected S-regular planar graphs which are not 2-extendable are investigated and examples of these are presented

Extending matchings in planar graphs V
✍ Michael D. Plummer πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 473 KB

A graph G on at least 2n + 2 vertices in n-extendable if every set of n independent edges extends to (i.e., is a subset of) a perfect matching in G. It is known that no planar graph is 3-extendable. In the present paper we continue to study 2-extendability in the plane. Suppose independent edges el

The complexity of the matching-cut probl
✍ Paul Bonsma πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 247 KB

## Abstract The Matching‐Cut problem is the problem to decide whether a graph has an edge cut that is also a matching. Previously this problem was studied under the name of the Decomposable Graph Recognition problem, and proved to be ${\cal{NP}}$‐complete when restricted to graphs with maximum deg

Matchings and walks in graphs
✍ C. D. Godsil πŸ“‚ Article πŸ“… 1981 πŸ› John Wiley and Sons 🌐 English βš– 527 KB

## Abstract The matching polynomial Ξ±(__G, x__) of a graph __G__ is a form of the generating function for the number of sets of __k__ independent edges of __G__. in this paper we show that if __G__ is a graph with vertex __v__ then there is a tree __T__ with vertex __w__ such that \documentclass{ar