𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Combinatorial designs related to the strong perfect graph conjecture

✍ Scribed by V. Chvátal; R.L. Graham; A.F. Perold; S.H. Whitesides


Publisher
Elsevier Science
Year
1979
Tongue
English
Weight
842 KB
Volume
26
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.

✦ Synopsis


Simple solutions of these matrix equations are easy to find; we describe ways of cortstructing rather messy ones. Our investigations are motivated by an intimate relationship between the pairs X, Y and minimal imperfect graphs.


📜 SIMILAR VOLUMES


On the strong perfect graph conjecture
✍ Stephan Olariu 📂 Article 📅 1988 🏛 John Wiley and Sons 🌐 English ⚖ 384 KB

A graph G is perfect if for every induced subgraph H of G the chromatic number x(H) equals the largest number w ( H ) of pairwise adjacent vertices in H. Berge's famous Strong Perfect Graph Conjecture asserts that a graph G is perfect if and only if neither G nor its complement C contains an odd cho

Even pairs and the strong perfect graph
✍ Stefan Hougardy 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 130 KB

We will characterize all graphs that have the property that the graph and its complement are minimal even pair free. This characterization allows a new formulation of the Strong Perfect Graph Conjecture. The reader is assumed to be familiar with perfect graphs (see e.g. [2]). A hole is a cycle of l

Split-Neighborhood Graphs and the Strong
✍ F. Maffray; M. Preissmann 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 649 KB

We introduce the class of graphs such that every induced subgraph possesses a vertex whose neighbourhood can be split into a clique and a stable set. We prove that this class satisfies Berge's strong perfect graph conjecture. This class contains several well-known classes of (perfect) graphs and is

Families of graphs complete for the stro
✍ D. G. Corneil 📂 Article 📅 1986 🏛 John Wiley and Sons 🌐 English ⚖ 381 KB 👁 1 views

The Strong Perfect Graph Conjecture states that a graph is perfect iff neither it nor its complement contains an odd chordless cycle of size greater than or equal to 5. In this article it is shown that many families of graphs are complete for this conjecture in the sense that the conjecture is true