Matches in SemOpenAlex for { <https://semopenalex.org/work/W1497106265> ?p ?o ?g. }
Showing items 1 to 80 of
80
with 100 items per page.
- W1497106265 endingPage "450" @default.
- W1497106265 startingPage "439" @default.
- W1497106265 abstract "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 f i (d i ), where d i is its depth in the tree under consideration, and (f_i:mathbb{N}_0 to mathbb{R}^+_0) is an arbitrary function. All solution methods known for the classical cases fail to compute the optimum here.For the generalized Alphabetic Tree Problem, we give a dynamic programming algorithm solving it in time O(n 4), using space O(n 3). Furthermore, we show that the runtime can be reduced to O(n 3) if the cost functions are nondecreasing and convex. The improved algorithm can also be used in the setting where the cost functions are nondecreasing and the objective function is the maximum leaf cost.We also prove that the Huffman Tree Problem in its full generality is inapproximable unless P=NP, no matter if the objective function is the sum of leaf costs or their maximum. For the latter problem, we show that the case where the cost functions are nondecreasing admits a polynomial time algorithm." @default.
- W1497106265 created "2016-06-24" @default.
- W1497106265 creator A5084704118 @default.
- W1497106265 creator A5088069212 @default.
- W1497106265 date "2010-01-01" @default.
- W1497106265 modified "2023-10-16" @default.
- W1497106265 title "On the Huffman and Alphabetic Tree Problem with General Cost Functions" @default.
- W1497106265 cites W1565530450 @default.
- W1497106265 cites W2004107401 @default.
- W1497106265 cites W2060108852 @default.
- W1497106265 cites W2063794498 @default.
- W1497106265 cites W2065954102 @default.
- W1497106265 cites W2068373264 @default.
- W1497106265 cites W2077623653 @default.
- W1497106265 cites W2083368438 @default.
- W1497106265 cites W2126711987 @default.
- W1497106265 cites W2154838933 @default.
- W1497106265 cites W2401610261 @default.
- W1497106265 cites W2697349394 @default.
- W1497106265 doi "https://doi.org/10.1007/978-3-642-15775-2_38" @default.
- W1497106265 hasPublicationYear "2010" @default.
- W1497106265 type Work @default.
- W1497106265 sameAs 1497106265 @default.
- W1497106265 citedByCount "1" @default.
- W1497106265 crossrefType "book-chapter" @default.
- W1497106265 hasAuthorship W1497106265A5084704118 @default.
- W1497106265 hasAuthorship W1497106265A5088069212 @default.
- W1497106265 hasBestOaLocation W14971062652 @default.
- W1497106265 hasConcept C113174947 @default.
- W1497106265 hasConcept C11413529 @default.
- W1497106265 hasConcept C114614502 @default.
- W1497106265 hasConcept C118615104 @default.
- W1497106265 hasConcept C126255220 @default.
- W1497106265 hasConcept C134306372 @default.
- W1497106265 hasConcept C14036430 @default.
- W1497106265 hasConcept C177148314 @default.
- W1497106265 hasConcept C311688 @default.
- W1497106265 hasConcept C33923547 @default.
- W1497106265 hasConcept C37404715 @default.
- W1497106265 hasConcept C41008148 @default.
- W1497106265 hasConcept C46900642 @default.
- W1497106265 hasConcept C78458016 @default.
- W1497106265 hasConcept C78548338 @default.
- W1497106265 hasConcept C86803240 @default.
- W1497106265 hasConceptScore W1497106265C113174947 @default.
- W1497106265 hasConceptScore W1497106265C11413529 @default.
- W1497106265 hasConceptScore W1497106265C114614502 @default.
- W1497106265 hasConceptScore W1497106265C118615104 @default.
- W1497106265 hasConceptScore W1497106265C126255220 @default.
- W1497106265 hasConceptScore W1497106265C134306372 @default.
- W1497106265 hasConceptScore W1497106265C14036430 @default.
- W1497106265 hasConceptScore W1497106265C177148314 @default.
- W1497106265 hasConceptScore W1497106265C311688 @default.
- W1497106265 hasConceptScore W1497106265C33923547 @default.
- W1497106265 hasConceptScore W1497106265C37404715 @default.
- W1497106265 hasConceptScore W1497106265C41008148 @default.
- W1497106265 hasConceptScore W1497106265C46900642 @default.
- W1497106265 hasConceptScore W1497106265C78458016 @default.
- W1497106265 hasConceptScore W1497106265C78548338 @default.
- W1497106265 hasConceptScore W1497106265C86803240 @default.
- W1497106265 hasLocation W14971062651 @default.
- W1497106265 hasLocation W14971062652 @default.
- W1497106265 hasOpenAccess W1497106265 @default.
- W1497106265 hasPrimaryLocation W14971062651 @default.
- W1497106265 hasRelatedWork W1567343995 @default.
- W1497106265 hasRelatedWork W2021372200 @default.
- W1497106265 hasRelatedWork W2029399988 @default.
- W1497106265 hasRelatedWork W2041924697 @default.
- W1497106265 hasRelatedWork W2052869910 @default.
- W1497106265 hasRelatedWork W2118345845 @default.
- W1497106265 hasRelatedWork W2765909687 @default.
- W1497106265 hasRelatedWork W2954144948 @default.
- W1497106265 hasRelatedWork W3005925191 @default.
- W1497106265 hasRelatedWork W2314909417 @default.
- W1497106265 isParatext "false" @default.
- W1497106265 isRetracted "false" @default.
- W1497106265 magId "1497106265" @default.
- W1497106265 workType "book-chapter" @default.