Journal of Combinatorial Theory Series B
Distance-hereditary graphs, Steiner trees, and connected domination
SIAM Journal on Computing
Discrete Applied Mathematics - Computational combinatiorics
Journal of Algorithms
Graph classes: a survey
Pruning Graphs with Digital Search Trees. Application to Distance Hereditary Graphs
STACS '00 Proceedings of the 17th Annual Symposium on Theoretical Aspects of Computer Science
Discrete Applied Mathematics
Recognizing Chordal Probe Graphs and Cycle-Bicolorable Graphs
SIAM Journal on Discrete Mathematics
Partitioned probe comparability graphs
Theoretical Computer Science
Probe Matrix Problems: Totally Balanced Matrices
AAIM '07 Proceedings of the 3rd international conference on Algorithmic Aspects in Information and Management
COCOON '08 Proceedings of the 14th annual international conference on Computing and Combinatorics
Discrete Applied Mathematics
Characterisations and linear-time recognition of probe cographs
WG'07 Proceedings of the 33rd international conference on Graph-theoretic concepts in computer science
Recognition of probe cographs and partitioned probe distance hereditary graphs
AAIM'06 Proceedings of the Second international conference on Algorithmic Aspects in Information and Management
The PIGs full monty – a floor show of minimal separators
STACS'05 Proceedings of the 22nd annual conference on Theoretical Aspects of Computer Science
Recognition of probe ptolemaic graphs
IWOCA'10 Proceedings of the 21st international conference on Combinatorial algorithms
Recognition of probe distance-hereditary graphs
Discrete Applied Mathematics
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A graph G = (V, E) is called a probe graph of graph class G if V can be partitioned into two sets P (probes) and N (nonprobes), where N is an independent set, such that G can be embedded into a graph of G by adding edges between certain nonprobes. A graph is distance hereditary if the distance between any two vertices remains the same in every connected induced subgraph. Distance-hereditary graphs have been studied by many researchers. In this paper we give an O(nm)-time algorithm for recognizing probe graphs of distance-hereditary graphs.