NDLI: Register Allocation for UnaryBinary Trees

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	Flajolet, P. Prodinger, H.
Copyright Year	1986
Abstract	We study the number of registers required for evaluating arithmetic expressions formed with any set of unary and binary operators. Our approach consists in a singularity analysis of intervening generating functions combined with a use of (complex) Mellin inversion. We illustrate it first by rederiving the known results about binary trees and then extend it to the fully general case of unarybinary trees. The method used, as mentioned in the conclusion, is applicable to a wide class of combinatorial sums.
Starting Page	629
Ending Page	640
Page Count	12
File Format	PDF
ISSN	00975397
DOI	10.1137/0215046
e-ISSN	10957111
Journal	SIAM Journal on Computing (SMJCAT)
Issue Number	3
Volume Number	15
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	2006-07-31
Access Restriction	Subscribed
Subject Keyword	random trees analysis of algorithms register allocation Mellin transform
Content Type	Text
Resource Type	Article
Subject	Mathematics Computer Science

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Register Allocation for UnaryBinary Trees