TY - RPRT T1 - New bounds for the longest edge of a tree in a VLSI layout T3 - Saarbrücken, 1984 A1 - Kaufmann,Michael Y1 - 2011/09/07 N2 - In the last three years many results were published about graph layout in VLSI. One aspect of graph layout is the minimization of the longest edge; for this problem Bhatt and Leiserson (1982) recently demonstrated a new technique to shorten the longest edge, and they thus achieved an upper bound of O(sqrt{N}/log N) for trees. Unfortunately, no good universal lower bounds exist. This paper presents a general techniques for proving lower bounds for trees. A second technique to embed trees is presented, which provides really good upper bounds for the maximal edge length in relation to the disposable area. CY - Saarbrücken PB - Universitäts- und Landesbibliothek AD - Postfach 151141, 66041 Saarbrücken UR - http://scidok.sulb.uni-saarland.de/volltexte/2011/4213 ER -