Errata for the book Geometric Spanner Networks
- Page 10:
The spanners for US cities are in the wrong order. The caption
should read: "Six geometric $t$-spanner networks on 532 US cities
with stretch factors of (a) $10$, (d) $5$, (c) $3$, (e) $2$,
(b) $1.5$, and (f) $1.2$, respectively."
(Reported by Neil Rhodes on March 15, 2007.)
- Page 18: In the quote, replace "Gell-mann" by "Gell-Mann".
- Page 166: In line 4 of the proof of Lemma 9.4.4, replace "R(pi(b)"
by "R(pi(b))". In line 6 of the same proof, replace "R(pi(a)" by
"R(pi(a))".
(Reported by Mohammad Farshi on October 16, 2007.)
- Page 174: In Theorem 9.6.2, replace the two occurrences of
"n/s^{O(lambda)}" by "s^{O(lambda)} n".
(Reported by Mohammad Farshi on February 5, 2008.)
- Page 177: In line -11, replace "ration" by "ratio".
- Page 177: Replace the sentence starting in line -8 by
"They showed how to construct in $O(n \log n)$ expected time a
hierarchical net for doubling metrics."
- Page 480: In Open Problem 13, replace "IT^d" by "R^d".
- Page 474: Replace the first paragraph by
Given a set S of n points in R^d, Eppstein and Wortman [2005]
considered the problem of computing the ``star graph'' with the
least stretch factor. A star graph has exactly one internal
vertex called its center with edges from the center to every
other vertex; it has no other edges. Eppstein and Wortman
considered two versions of the problem. In the first version,
the center can be any point in R^d; thus, the main problem is
finding the location of the ``best'' center. In the second
version, the center must be a point of S; thus, the main problem
is that of identifying the star with the least stretch factor
among the n possible star graphs. Both versions of this problem
have applications to various versions of the facility location
problem.
- Page 494: The correct title of Yao's 1991-paper is
"Lower bounds for algebraic computation trees of functions with
finite domains".