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ESA
2010
Springer
163views Algorithms» more  ESA 2010»
13 years 6 months ago
On the Huffman and Alphabetic Tree Problem with General Cost Functions
We study a wide generalization of two classical problems, the Huffman Tree and Alphabetic Tree Problem. We assume that the cost caused by the ith leaf is fi(di), where di is its d...
Hiroshi Fujiwara, Tobias Jacobs
IANDC
2008
101views more  IANDC 2008»
13 years 5 months ago
Trees with exponentially growing costs
We investigate code trees and search trees with cost functions that increase exponentially with the depth in the tree. While corresponding coding theorems have been considered in ...
Frank Schulz
TIT
2008
86views more  TIT 2008»
13 years 5 months ago
Optimal Prefix Codes for Infinite Alphabets With Nonlinear Costs
Let P = {p(i)} be a measure of strictly positive probabilities on the set of nonnegative integers. Although the countable number of inputs prevents usage of the Huffman algorithm, ...
Michael B. Baer
CORR
2006
Springer
109views Education» more  CORR 2006»
13 years 5 months ago
On Conditional Branches in Optimal Decision Trees
The decision tree is one of the most fundamental ing abstractions. A commonly used type of decision tree is the alphabetic binary tree, which uses (without loss of generality) &quo...
Michael B. Baer
CORR
2006
Springer
160views Education» more  CORR 2006»
13 years 5 months ago
On Conditional Branches in Optimal Search Trees
A commonly used type of search tree is the alphabetic binary tree, which uses (without loss of generality) "less than" versus "greater than or equal to" tests ...
Michael B. Baer