Selection on X1

被引：2

作者：

Kreitzberg, Patrick ^{[1
]}

Lucke, Kyle ^{[2
]}

Pennington, Jake ^{[1
]}

Serang, Oliver ^{[2
]}

机构：

[1] Univ Montana, Dept Math, Missoula, MT 59812 USA

[2] Univ Montana, Dept Comp Sci, Missoula, MT 59812 USA

来源：

PEERJ COMPUTER SCIENCE | 2021年

基金：

美国国家科学基金会;

关键词：

Selection; Cartesian product; Tree; Sorting; CONVOLUTION;

D O I：

10.7717/peerj-cs.483

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Selection on the Cartesian product is a classic problem in computer science. Recently, an optimal algorithm for selection on A+B, based on soft heaps, was introduced. By combining this approach with layer-ordered heaps (LOHs), an algorithm using a balanced binary tree of A+B selections was proposed to perform selection on X-1+X-2+...+X-m in o(n.m+k.m), where X-i have length n. Here, that o(n.m+k.m) algorithm is combined with a novel, optimal LOH-based algorithm for selection on A+B (without a soft heap). Performance of algorithms for selection on X-1+X-2+...+X-m are compared empirically, demonstrating the benefit of the algorithm proposed here.

引用

页数：11

共 50 条

[21] 7(x1) SAMURAI
Hawk, Gavin
THEATRE JOURNAL, 2010, 62 (01) : 116 - 118
[22] X1 Professional Client
Davis, Jan
ECONTENT, 2008, 31 (08) : 21 - 23
[23] Inverse functions of y=x1/x
Cho, YH
Park, K
AMERICAN MATHEMATICAL MONTHLY, 2001, 108 (10): : 963 - 967
[24] X1 AND X2 SPACECRAFT
COOK, GE
SPACEFLIGHT, 1968, 10 (09): : 325 - &
[25] High resolution spectra of the AuF D1Σ+-X1Σ+ and C1Π-X1Σ+ transitions
Knurr, Benjamin J.
Butler, Elissa K.
Varberg, Thomas D.
ABSTRACTS OF PAPERS OF THE AMERICAN CHEMICAL SOCIETY, 2009, 237
[26] SPIN-COUPLED THEORY OF MOLECULAR WAVEFUNCTIONS - APPLICATIONS TO STRUCTURE AND PROPERTIES OF LIH(X1 SIGMA +), BH(X1 SIGMA +), LI2(X1 SIGMA G+) AND HF(X1 SIGMA +)
PYPER, NC
GERRATT, J
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1977, 355 (1682): : 407 - 439
[27] The cyclic homology of k[x1, x2, ..., xd]/(x1, x2, ... , xd)2
Rudman, Emily
COMMUNICATIONS IN ALGEBRA, 2022, 50 (10) : 4356 - 4378
[28] New Proofs for the Disjunctive Rado Number of the Equations x1 - x2 = a and x1 - x2 = b
Dileep, A.
Moondra, Jai
Tripathi, Amitabha
GRAPHS AND COMBINATORICS, 2022, 38 (02)
[29] The A1Π-X1Σ+ transition in NiC
Borin, AC
CHEMICAL PHYSICS, 2001, 274 (2-3) : 99 - 108
[30] Astrophysically useful radiative transition parameters for the e1Π–X1Σ+ and 1Σ+–X1Σ+ systems of zirconium oxide
R. Shanmugavel
P. Sriramachandran
Astrophysics and Space Science, 2011, 332 : 257 - 262

← 1 2 3 4 5 →