Class information for:
Level 1: APPORTIONMENT METHODS//DIVISOR METHODS//ROUNDING METHODS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
27593 226 16.6 27%


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
4017 2             APPORTIONMENT METHODS//CONE SPECTRAL RADIUS//DIVISOR METHODS 673
27593 1                   APPORTIONMENT METHODS//DIVISOR METHODS//ROUNDING METHODS 226

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 APPORTIONMENT METHODS authKW 1039321 4% 77% 10
2 DIVISOR METHODS authKW 608002 3% 75% 6
3 ROUNDING METHODS authKW 540449 2% 100% 4
4 SEAT BIAS authKW 540449 2% 100% 4
5 MATRIX SCALING authKW 413773 3% 44% 7
6 BI PROPORTIONAL ALLOTMENT authKW 405337 1% 100% 3
7 BIPROPORTIONAL APPORTIONMENT authKW 405337 1% 100% 3
8 DEGRESSIVE PROPORTIONALITY authKW 405337 1% 100% 3
9 SAINTE LAGUE authKW 405337 1% 100% 3
10 STATIONARY DIVISOR METHODS authKW 405337 1% 100% 3

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 Social Sciences, Mathematical Methods 2569 13% 0% 30
2 Mathematics, Applied 2202 39% 0% 89
3 Operations Research & Management Science 1408 18% 0% 41
4 Mathematics 1215 32% 0% 73
5 Mathematics, Interdisciplinary Applications 385 10% 0% 22
6 Statistics & Probability 269 9% 0% 20
7 Economics 261 12% 0% 28
8 Political Science 153 5% 0% 12
9 Computer Science, Software Engineering 119 6% 0% 13
10 Psychology, Mathematical 69 1% 0% 3

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 INTERNET ECOL GRP 135112 0% 100% 1
2 MAT FCT 135112 0% 100% 1
3 UNISU 135110 1% 50% 2
4 CNRSENS LYONINRIAUCBL 67555 0% 50% 1
5 MOMENTUM GAME THEORY GRP 22517 0% 17% 1
6 PROGRAM SCI COMP COMPUTAT MATH 22517 0% 17% 1
7 NORD EUROPE 19300 0% 14% 1
8 STAT MATH WIRT AFTSTHEORIE 17430 1% 6% 2
9 DIP SCI STAT 15011 0% 11% 1
10 KELETI BUSINESS MANAGEMENT 15011 0% 11% 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 MATHEMATICAL SOCIAL SCIENCES 31049 8% 1% 19
2 LINEAR ALGEBRA AND ITS APPLICATIONS 16103 16% 0% 37
3 RIVISTA ITALIANA DI SCIENZA POLITICA 4824 0% 4% 1
4 METRIKA 3607 2% 1% 5
5 MATHEMATICAL PROGRAMMING 3504 4% 0% 9
6 ANNALS OF OPERATIONS RESEARCH 3253 4% 0% 9
7 AMERICAN MATHEMATICAL MONTHLY 3190 4% 0% 8
8 SOCIAL CHOICE AND WELFARE 3004 3% 0% 6
9 RAIRO-RECHERCHE OPERATIONNELLE-OPERATIONS RESEARCH 2960 1% 1% 3
10 ELECTORAL STUDIES 2275 2% 0% 5

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 APPORTIONMENT METHODS 1039321 4% 77% 10 Search APPORTIONMENT+METHODS Search APPORTIONMENT+METHODS
2 DIVISOR METHODS 608002 3% 75% 6 Search DIVISOR+METHODS Search DIVISOR+METHODS
3 ROUNDING METHODS 540449 2% 100% 4 Search ROUNDING+METHODS Search ROUNDING+METHODS
4 SEAT BIAS 540449 2% 100% 4 Search SEAT+BIAS Search SEAT+BIAS
5 MATRIX SCALING 413773 3% 44% 7 Search MATRIX+SCALING Search MATRIX+SCALING
6 BI PROPORTIONAL ALLOTMENT 405337 1% 100% 3 Search BI+PROPORTIONAL+ALLOTMENT Search BI+PROPORTIONAL+ALLOTMENT
7 BIPROPORTIONAL APPORTIONMENT 405337 1% 100% 3 Search BIPROPORTIONAL+APPORTIONMENT Search BIPROPORTIONAL+APPORTIONMENT
8 DEGRESSIVE PROPORTIONALITY 405337 1% 100% 3 Search DEGRESSIVE+PROPORTIONALITY Search DEGRESSIVE+PROPORTIONALITY
9 SAINTE LAGUE 405337 1% 100% 3 Search SAINTE+LAGUE Search SAINTE+LAGUE
10 STATIONARY DIVISOR METHODS 405337 1% 100% 3 Search STATIONARY+DIVISOR+METHODS Search STATIONARY+DIVISOR+METHODS

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 PUKELSHEIM, F , (2014) BIPROPORTIONAL SCALING OF MATRICES AND THE ITERATIVE PROPORTIONAL FITTING PROCEDURE.ANNALS OF OPERATIONS RESEARCH. VOL. 215. ISSUE 1. P. 269 -283 14 93% 3
2 SERAFINI, P , (2015) CERTIFICATES OF OPTIMALITY FOR MINIMUM NORM BIPROPORTIONAL APPORTIONMENTS.SOCIAL CHOICE AND WELFARE. VOL. 44. ISSUE 1. P. 1 -12 10 91% 0
3 JANSON, S , (2014) ASYMPTOTIC BIAS OF SOME ELECTION METHODS.ANNALS OF OPERATIONS RESEARCH. VOL. 215. ISSUE 1. P. 89-136 9 100% 1
4 KALANTARI, B , LARI, I , RICCA, F , SIMEONE, B , (2008) ON THE COMPLEXITY OF GENERAL MATRIX SCALING AND ENTROPY MINIMIZATION VIA THE RAS ALGORITHM.MATHEMATICAL PROGRAMMING. VOL. 112. ISSUE 2. P. 371 -401 11 69% 13
5 SCHWINGENSCHLOGL, U , (2007) PROBABILITIES OF MAJORITY AND MINORITY VIOLATION IN PROPORTIONAL REPRESENTATION.STATISTICS & PROBABILITY LETTERS. VOL. 77. ISSUE 17. P. 1690-1695 7 100% 1
6 KNIGHT, PA , RUIZ, D , (2013) A FAST ALGORITHM FOR MATRIX BALANCING.IMA JOURNAL OF NUMERICAL ANALYSIS. VOL. 33. ISSUE 3. P. 1029-1047 9 60% 18
7 SLOMCZYNSKI, W , ZYCZKOWSKI, K , (2012) MATHEMATICAL ASPECTS OF DEGRESSIVE PROPORTIONALITY.MATHEMATICAL SOCIAL SCIENCES. VOL. 63. ISSUE 2. P. 94 -101 10 56% 12
8 GAFFKE, N , PUKELSHEIM, F , (2008) DIVISOR METHODS FOR PROPORTIONAL REPRESENTATION SYSTEMS: AN OPTIMIZATION APPROACH TO VECTOR AND MATRIX APPORTIONMENT PROBLEMS.MATHEMATICAL SOCIAL SCIENCES. VOL. 56. ISSUE 2. P. 166-184 7 88% 8
9 OELBERMANN, KF , (2016) ALTERNATE SCALING ALGORITHM FOR BIPROPORTIONAL DIVISOR METHODS.MATHEMATICAL SOCIAL SCIENCES. VOL. 80. ISSUE . P. 25 -32 6 86% 0
10 RAMIREZ, V , PUKELSHEIM, F , PALOMARES, A , MARTINEZ, J , (2008) A BI-PROPORTIONAL METHOD APPLIED TO THE SPANISH CONGRESS.MATHEMATICAL AND COMPUTER MODELLING. VOL. 48. ISSUE 9-10. P. 1461 -1467 6 100% 4

Classes with closest relation at Level 1


Rank Class id link
1 5599 ELECTORAL SYSTEMS//ELECTORAL STUDIES//STRATEGIC VOTING
2 14004 APPROXIMATE COUNTING//PERMANENTAL POLYNOMIAL//PERMANENT
3 28282 LIPSCHITZ ALGEBRAS//RECTIFIABLY CONNECTED//QUASICOMPACT
4 22713 CONE SPECTRAL RADIUS//DENJOY WOLFF THEOREMS//CONCAVE OPERATOR
5 24909 MONGE PROPERTY//MONGE ARRAYS//MONGE MATRIX
6 30622 MULTIDIMENSIONAL ASSIGNMENT PROBLEM//MULTIDIMENSIONAL ASSIGNMENT//THREE DIMENSIONAL ASSIGNMENT PROBLEM
7 27833 SPATIAL MICROSIMULATION//POPULATION SYNTHESIS//MICROSIMULATION
8 10319 MAX ALGEBRA//MAX PLUS ALGEBRA//TROPICAL GEOMETRY
9 26153 G MAJORIZATION//GROUP MAJORIZATION//STRONG LINEAR PRESERVER
10 16159 MAXIMUM FLOW//STRONGLY POLYNOMIAL//NETWORK FLOW

Go to start page