Class information for:
Level 1: MAX ALGEBRA//MAX PLUS ALGEBRA//TROPICAL GEOMETRY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
10319 1074 18.4 39%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
485 3       LINEAR ALGEBRA AND ITS APPLICATIONS//BENFORDS LAW//MATHEMATICS, APPLIED 23484
2286 2             LINEAR ALGEBRA AND ITS APPLICATIONS//MAX ALGEBRA//SIGN PATTERN 4579
10319 1                   MAX ALGEBRA//MAX PLUS ALGEBRA//TROPICAL GEOMETRY 1074

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 MAX ALGEBRA authKW 1691766 6% 92% 65
2 MAX PLUS ALGEBRA authKW 1403298 9% 53% 94
3 TROPICAL GEOMETRY authKW 924133 6% 51% 64
4 TROPICAL ALGEBRA authKW 666353 3% 76% 31
5 FUZZY MATRIX authKW 487926 3% 59% 29
6 TIMED EVENT GRAPHS authKW 481621 2% 71% 24
7 MAX PLUS LINEAR SYSTEMS authKW 437373 2% 77% 20
8 TROPICAL CONVEXITY authKW 355368 1% 83% 15
9 MATH THEORET INFORMAT address 328638 2% 68% 17
10 MATEMAT BEPPO LEVI address 314914 1% 92% 12

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Mathematics 19441 58% 0% 621
2 Mathematics, Applied 15105 47% 0% 505
3 Automation & Control Systems 3343 12% 0% 127
4 Computer Science, Theory & Methods 1780 12% 0% 126
5 Operations Research & Management Science 1212 8% 0% 86
6 Computer Science, Cybernetics 843 3% 0% 29
7 Statistics & Probability 811 7% 0% 77
8 Computer Science, Information Systems 146 4% 0% 39
9 Computer Science, Hardware & Architecture 83 2% 0% 20
10 Engineering, Electrical & Electronic 41 6% 0% 69

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 MATH THEORET INFORMAT 328638 2% 68% 17
2 MATEMAT BEPPO LEVI 314914 1% 92% 12
3 HGRP SYST REGELUNGSTHEORIE 51171 0% 60% 3
4 INGN SYST AUTOMATISES 39791 1% 20% 7
5 CRC HIGHER ORDER STRUCT MATH 37905 0% 67% 2
6 FB MATH 12 30319 0% 27% 4
7 ANGEVIN INGN SYST LARIS ISTIA 28430 0% 100% 1
8 ARBEITSBEREICH GEOMETRIE 28430 0% 100% 1
9 CEA SACLAY NANOINNOV 28430 0% 100% 1
10 CNRSUCBLINRIAENS LYONUMR 5668 28430 0% 100% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 LINEAR ALGEBRA AND ITS APPLICATIONS 105110 19% 2% 206
2 DISCRETE EVENT DYNAMIC SYSTEMS-THEORY AND APPLICATIONS 96136 3% 9% 36
3 FUZZY SETS AND SYSTEMS 16652 6% 1% 65
4 LINEAR & MULTILINEAR ALGEBRA 12396 2% 2% 24
5 KYBERNETIKA 12011 3% 2% 27
6 COLLECTANEA MATHEMATICA 9651 1% 3% 10
7 JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY 5442 1% 1% 15
8 EKONOMICKO-MATEMATICKY OBZOR 4996 0% 4% 5
9 ADVANCES IN GEOMETRY 3079 1% 1% 8
10 IEEE TRANSACTIONS ON AUTOMATIC CONTROL 2782 3% 0% 33

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 MAX ALGEBRA 1691766 6% 92% 65 Search MAX+ALGEBRA Search MAX+ALGEBRA
2 MAX PLUS ALGEBRA 1403298 9% 53% 94 Search MAX+PLUS+ALGEBRA Search MAX+PLUS+ALGEBRA
3 TROPICAL GEOMETRY 924133 6% 51% 64 Search TROPICAL+GEOMETRY Search TROPICAL+GEOMETRY
4 TROPICAL ALGEBRA 666353 3% 76% 31 Search TROPICAL+ALGEBRA Search TROPICAL+ALGEBRA
5 FUZZY MATRIX 487926 3% 59% 29 Search FUZZY+MATRIX Search FUZZY+MATRIX
6 TIMED EVENT GRAPHS 481621 2% 71% 24 Search TIMED+EVENT+GRAPHS Search TIMED+EVENT+GRAPHS
7 MAX PLUS LINEAR SYSTEMS 437373 2% 77% 20 Search MAX+PLUS+LINEAR+SYSTEMS Search MAX+PLUS+LINEAR+SYSTEMS
8 TROPICAL CONVEXITY 355368 1% 83% 15 Search TROPICAL+CONVEXITY Search TROPICAL+CONVEXITY
9 U V OPERATOR 286666 1% 92% 11 Search U+V+OPERATOR Search U+V+OPERATOR
10 MAX MIN ALGEBRA 253274 1% 64% 14 Search MAX+MIN+ALGEBRA Search MAX+MIN+ALGEBRA

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 GUTERMAN, A , SHITOV, Y , (2016) RANK FUNCTIONS OF TROPICAL MATRICES.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 498. ISSUE . P. 326 -348 26 70% 0
2 TAN, YJ , (2011) ON GENERALIZED FUZZY MATRICES WITH PERIODS.FUZZY SETS AND SYSTEMS. VOL. 172. ISSUE 1. P. 87 -103 22 92% 1
3 LIU, CC , WU, YK , LUR, YY , (2015) ON THE MAX-NILPOTENT T-NORM POWERS OF A FUZZY MATRIX.FUZZY SETS AND SYSTEMS. VOL. 271. ISSUE . P. 70 -80 21 88% 0
4 ALLAMIGEON, X , GAUBERT, S , GOUBAULT, E , (2013) COMPUTING THE VERTICES OF TROPICAL POLYHEDRA USING DIRECTED HYPERGRAPHS.DISCRETE & COMPUTATIONAL GEOMETRY. VOL. 49. ISSUE 2. P. 247-279 21 88% 6
5 SERGEEV, S , (2011) MAX-ALGEBRAIC ATTRACTION CONES OF NONNEGATIVE IRREDUCIBLE MATRICES.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 435. ISSUE 7. P. 1736 -1757 20 95% 5
6 JONSSON, M , (2016) DEGENERATIONS OF AMOEBAE AND BERKOVICH SPACES.MATHEMATISCHE ANNALEN. VOL. 364. ISSUE 1-2. P. 293 -311 27 57% 1
7 AKIAN, M , GAUBERT, S , GUTERMAN, A , (2012) TROPICAL POLYHEDRA ARE EQUIVALENT TO MEAN PAYOFF GAMES.INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION. VOL. 22. ISSUE 1. P. - 26 65% 10
8 PANG, CT , (2007) ON THE ASYMPTOTIC PERIOD OF POWERS OF A FUZZY MATRIX.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 54. ISSUE 2. P. 310 -318 20 100% 1
9 CECHLAROVA, K , (2003) POWERS OF MATRICES OVER DISTRIBUTIVE LATTICES - A REVIEW.FUZZY SETS AND SYSTEMS. VOL. 138. ISSUE 3. P. 627 -641 25 86% 22
10 GROSS, A , (2016) CORRESPONDENCE THEOREMS VIA TROPICALIZATIONS OF MODULI SPACES.COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. VOL. 18. ISSUE 3. P. - 17 89% 0

Classes with closest relation at Level 1


Rank Class id link
1 17786 FUZZY RELATION EQUATIONS//FUZZY RELATIONAL EQUATIONS//MAX PRODUCT COMPOSITION
2 29138 CONGRUENCE SIMPLE SEMIRINGS//SEMIMODULES//ALGEBRA OF FRACTIONS
3 21060 CHIP FIRING//SEQUENTIAL DYNAMICAL SYSTEMS//CHIP FIRING GAME
4 22713 CONE SPECTRAL RADIUS//DENJOY WOLFF THEOREMS//CONCAVE OPERATOR
5 7151 GROMOV WITTEN INVARIANTS//ENUMERATIVE GEOMETRY//HURWITZ NUMBERS
6 27593 APPORTIONMENT METHODS//DIVISOR METHODS//ROUNDING METHODS
7 26727 SCRAMBLING INDEX//PRIMITIVE DIGRAPH//M COMPETITION INDEX
8 19701 CLUSTER TOOL//ROBOTIC CELL//CYCLIC SCHEDULING
9 24819 TIGHT SPAN//INJECTIVE HULL//Q HYPERCONVEX
10 27660 NULLITY//SINGULAR GRAPHS//NSSD

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