id: 01303031 dt: a an: 01303031 au: Hsieh, Sun-Yuan; Ho, Chin-Wen; Hsu, Tsan-Sheng; Ko, Ming-Tat; Chen, Gen-Huey ti: Characterization of efficiently solvable problems on distance-hereditary graphs. so: Chwa, Kyung-Yong (ed.) et al., Algorithms and computation. 9th international symposium, ISAAC ’98. Taejon, Korea, December 14-16, 1998. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1533, 257-266 (1998). py: 1998 pu: Berlin: Springer la: EN cc: ut: distance-hereditary graph ci: li: ab: Summary: In the literature, there are quite a few sequential and parallel algorithms to solve problems in a distance-hereditary graph $G$ utilizing techniques discovered from the properties of the problems. Based on structural properties of $G$, we first sketch characteristics of problems which can be systematic solved on $G$ and then define a general problem-solving paradigm. Given a decomposition tree representation of $G$, we propose a unified approach to construct sequential dynamic-programming algorithms for several fundamental graph-theoretical problems that fit into our paradigm. We also show that our sequential solutions can be efficiently parallelized using the tree contraction technique. rv: