Sciweavers

446 search results - page 4 / 90
» Extremal Stable Graphs
Sort
View
CATS
2008
13 years 8 months ago
Well-covered Graphs and Greedoids
G is a well-covered graph provided all its maximal stable sets are of the same size (Plummer, 1970). S is a local maximum stable set of G, and we denote by S (G), if S is a maxim...
Vadim E. Levit, Eugen Mandrescu
ENDM
2007
91views more  ENDM 2007»
13 years 7 months ago
On facets of stable set polytopes of claw-free graphs with stability number three
Providing a complete description of the stable set polytopes of claw-free graphs is a longstanding open problem since almost twenty years. Eisenbrandt et al. recently achieved a b...
Arnaud Pêcher, Pierre Pesneau, Annegret Wagl...
WG
2005
Springer
14 years 25 days ago
On Stable Cutsets in Claw-Free Graphs and Planar Graphs
To decide whether a line graph (hence a claw-free graph) of maximum degree five admits a stable cutset has been proven to be an NP-complete problem. The same result has been known...
Van Bang Le, Raffaele Mosca, Haiko Müller
DM
1999
61views more  DM 1999»
13 years 7 months ago
On an equivalence in discrete extremal problems
We introduce some equivalence relations on graphs and posets and prove that they are closed under the cartesian product operation. These relations concern the edge-isoperimetric p...
Sergei L. Bezrukov
ARSCOM
2007
82views more  ARSCOM 2007»
13 years 7 months ago
Extremal properties of (1, f)-odd factors in graphs
Let G be a simple graph and f : V (G) → {1, 3, 5, ...} an odd integer valued function defined on V (G). A spanning subgraph F of G is called a (1, f)odd factor if dF (v) ∈ {1...
Qinglin Roger Yu, Zhao Zhang