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» Graph Classes Between Parity and Distance-hereditary Graphs
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WG
2001
Springer
15 years 2 months ago
(k, +)-Distance-Hereditary Graphs
In this work we introduce, characterize, and provide algorithmic results for (k, +)–distance-hereditary graphs, k ≥ 0. These graphs can be used to model interconnection networ...
Serafino Cicerone, Gianluca D'Ermiliis, Gabriele D...
DAM
1999
128views more  DAM 1999»
14 years 9 months ago
Graph Classes Between Parity and Distance-hereditary Graphs
Several graph problems (e.g., steiner tree, connected domination, hamiltonian path, and isomorphism problem), which can be solved in polynomial time for distance-hereditary graphs...
Serafino Cicerone, Gabriele Di Stefano
SIAMDM
2008
101views more  SIAMDM 2008»
14 years 10 months ago
On Planar Quasi-Parity Graphs
A graph G is strict quasi parity (SQP) if every induced subgraph of G that is not a clique contains a pair of vertices with no odd chordless path between them (an even pair). Houga...
Cláudia Linhares Sales, Frédé...
COMBINATORICS
2006
118views more  COMBINATORICS 2006»
14 years 10 months ago
Noncrossing Trees and Noncrossing Graphs
We give a parity reversing involution on noncrossing trees that leads to a combinatorial interpretation of a formula on noncrossing trees and symmetric ternary trees in answer to a...
William Y. C. Chen, Sherry H. F. Yan
DM
2007
125views more  DM 2007»
14 years 10 months ago
Generalized switch-setting problems
Switch-setting games like Lights Out are typically modelled as a graph, where the vertices represent switches and lamps, and the edges capture the switching rules. We generalize t...
Torsten Muetze