@inproceedings{12dd56bd7010459fbc7c3c92bfebd049,

title = "An efficient algorithm for edge-ranking trees",

abstract = "An edge-ranking of an undirected graph G is a labeling of the edges of G with integers such that all paths between two edges with the same label i contain an edge with label j > i. The problem of finding an edge-ranking of G using a minimum number of ranks has applications in scheduling the manufacture of complex multi-part products; it is equivalent to finding the minimum height edge separator tree. Deogun and Peng and independently de la Torre et al. have given polynomialtime algorithms which find an edge-ranking of trees T using a minimum number of ranks in time O(n3) and O(n3 log n) respectively, where n is the number of nodes in T. This paper presents a more efficient and simple algorithm, which finds an edge-ranking of trees using a minimum number of ranks in O(n2) time.",

author = "Xiao Zhou and Takao Nishizeki",

note = "Publisher Copyright: {\textcopyright} Springer-Verlag Berlin Heidelberg 1994.; 2nd Annual European Symposium on Algorithms, ESA 1994 ; Conference date: 26-09-1994 Through 28-09-1994",

year = "1994",

doi = "10.1007/bfb0049402",

language = "English",

isbn = "9783540584346",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer Verlag",

pages = "118--129",

editor = "{van Leeuwen}, Jan",

booktitle = "Algorithms - ESA'94 - 2nd Annual European Symposium, Proceedings",

}