Results 161 to 170 of about 152,220 (203)

Nonexistence Theorems of Perfect Codes and Tight Designs in Distance Transitive Graphs (デザインの構成法および不存在性)

open access: yesNonexistence Theorems of Perfect Codes and Tight Designs in Distance Transitive Graphs (デザインの構成法および不存在性)
openaire  

A Generalization of the Perfect Graph Theorem Under the Disjunctive Index

open access: closedMathematics of Operations Research, 2002
In this paper, we relate antiblocker duality between polyhedra, graph theory, and the disjunctive procedure. In particular, we analyze the behavior of the disjunctive procedure over the clique relaxation, 𝒦(G), of the stable set polytope in a graph G, and the one associated to its complementary graph, 𝒦(Ḡ).
Garaeila L. Nasini   +2 more
semanticscholar   +5 more sources

Simple Proofs of the Strong Perfect Graph Theorem Using Polyhedral Approaches and Proving P=NP as a Conclusion

open access: closed2020 International Conference on Computational Science and Computational Intelligence (CSCI), 2020
The strong perfect graph theorem is the proof of the famous Berge’s conjecture that the graph is perfect if and only if it is free of odd holes and odd anti-holes. The conjecture was settled after 40 years in 2002 by Maria Chudnovsky et. al. and the proof was published in 2006.
Maher Heal
semanticscholar   +4 more sources

The Strong Perfect Graph Theorem for a Class of Partitionable Graphs

open access: closed, 1984
A simple adjacency criterion is presented which, when satisfied, implies that a minimal imperfect graph is an odd hole or an odd antihole. For certain classes of graphs, including K 1,3 -free graphs, it is straightforward to validate this criterion and thus establish the Strong Perfect Graph Theorem for such graphs.
Alan Tucker   +2 more
semanticscholar   +4 more sources

A Combinatorial Theorem on Ordered Circular Sequences of n 1 u's and n 2 v' s with Application to Kernel-perfect Graphs

open access: closedActa Mathematicae Applicatae Sinica, English Series, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiao-feng Guo, Yi Huang
  +6 more sources

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