Class information for:
Level 1: ALTERNATING SIGN MATRICES//PLANE PARTITIONS//AZTEC DIAMOND

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
16175 669 20.9 44%


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
404 3       MATHEMATICS//ORTHOGONAL POLYNOMIALS//MATHEMATICS, APPLIED 29787
2388 2             RANDOM MATRICES//RANDOM MATRICES-THEORY AND APPLICATIONS//RANDOM MATRIX 4248
16175 1                   ALTERNATING SIGN MATRICES//PLANE PARTITIONS//AZTEC DIAMOND 669

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 ALTERNATING SIGN MATRICES authKW 1477039 6% 83% 39
2 PLANE PARTITIONS authKW 805422 4% 59% 30
3 AZTEC DIAMOND authKW 736346 3% 73% 22
4 MONOTONE TRIANGLES authKW 641839 2% 94% 15
5 LOZENGE TILINGS authKW 513465 2% 75% 15
6 NONINTERSECTING LATTICE PATHS authKW 466783 2% 68% 15
7 ALTERNATING SIGN MATRIX authKW 388938 2% 61% 14
8 GRAPHICAL CONDENSATION authKW 365136 1% 100% 8
9 PERFECT MATCHINGS authKW 308501 4% 26% 26
10 HANKEL DETERMINANT authKW 301775 3% 29% 23

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 9446 51% 0% 343
2 Physics, Mathematical 6594 28% 0% 187
3 Mathematics, Applied 2408 25% 0% 164
4 Physics, Multidisciplinary 270 11% 0% 72
5 Mechanics 194 7% 0% 46
6 Physics, Fluids & Plasmas 21 2% 0% 13
7 Statistics & Probability 13 2% 0% 11
8 Computer Science, Theory & Methods 8 2% 0% 11
9 Physics, Particles & Fields 2 2% 0% 11
10 Computer Science, Software Engineering 1 1% 0% 5

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 SERV PHYS THEOR SACLAY 145518 2% 25% 13
2 CNRI 60855 0% 67% 2
3 MIIP 60855 0% 67% 2
4 SPHTCNRSURA 2306 60855 0% 67% 2
5 BOLOLIUBOV THEORET PHYS 45642 0% 100% 1
6 CNRS 99 45642 0% 100% 1
7 CNRSUMR 2306 45642 0% 100% 1
8 DSMSPHTURA 2306 45642 0% 100% 1
9 FIS SAO CARLIS 45642 0% 100% 1
10 LIFR MIIP 45642 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 JOURNAL OF COMBINATORIAL THEORY SERIES A 68194 10% 2% 70
2 ELECTRONIC JOURNAL OF COMBINATORICS 65978 9% 2% 60
3 ADVANCES IN APPLIED MATHEMATICS 41151 5% 3% 36
4 JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT 27069 7% 1% 46
5 JOURNAL OF ALGEBRAIC COMBINATORICS 11765 3% 2% 17
6 EUROPEAN JOURNAL OF COMBINATORICS 3780 2% 1% 16
7 THEORETICAL AND MATHEMATICAL PHYSICS 3609 3% 0% 20
8 JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 3106 5% 0% 33
9 ANNALS OF COMBINATORICS 2601 1% 1% 5
10 DISCRETE MATHEMATICS 2402 4% 0% 25

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 ALTERNATING SIGN MATRICES 1477039 6% 83% 39 Search ALTERNATING+SIGN+MATRICES Search ALTERNATING+SIGN+MATRICES
2 PLANE PARTITIONS 805422 4% 59% 30 Search PLANE+PARTITIONS Search PLANE+PARTITIONS
3 AZTEC DIAMOND 736346 3% 73% 22 Search AZTEC+DIAMOND Search AZTEC+DIAMOND
4 MONOTONE TRIANGLES 641839 2% 94% 15 Search MONOTONE+TRIANGLES Search MONOTONE+TRIANGLES
5 LOZENGE TILINGS 513465 2% 75% 15 Search LOZENGE+TILINGS Search LOZENGE+TILINGS
6 NONINTERSECTING LATTICE PATHS 466783 2% 68% 15 Search NONINTERSECTING+LATTICE+PATHS Search NONINTERSECTING+LATTICE+PATHS
7 ALTERNATING SIGN MATRIX 388938 2% 61% 14 Search ALTERNATING+SIGN+MATRIX Search ALTERNATING+SIGN+MATRIX
8 GRAPHICAL CONDENSATION 365136 1% 100% 8 Search GRAPHICAL+CONDENSATION Search GRAPHICAL+CONDENSATION
9 PERFECT MATCHINGS 308501 4% 26% 26 Search PERFECT+MATCHINGS Search PERFECT+MATCHINGS
10 HANKEL DETERMINANT 301775 3% 29% 23 Search HANKEL+DETERMINANT Search HANKEL+DETERMINANT

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 BEHREND, RE , (2013) MULTIPLY-REFINED ENUMERATION OF ALTERNATING SIGN MATRICES.ADVANCES IN MATHEMATICS. VOL. 245. ISSUE . P. 439 -499 81 95% 4
2 BEHREND, RE , DI FRANCESCO, P , ZINN-JUSTIN, P , (2012) ON THE WEIGHTED ENUMERATION OF ALTERNATING SIGN MATRICES AND DESCENDING PLANE PARTITIONS.JOURNAL OF COMBINATORIAL THEORY SERIES A. VOL. 119. ISSUE 2. P. 331 -363 38 93% 9
3 BEHREND, RE , DI FRANCESCO, P , ZINN-JUSTIN, P , (2013) A DOUBLY-REFINED ENUMERATION OF ALTERNATING SIGN MATRICES AND DESCENDING PLANE PARTITIONS.JOURNAL OF COMBINATORIAL THEORY SERIES A. VOL. 120. ISSUE 2. P. 409 -432 34 92% 0
4 FISCHER, I , (2016) SHORT PROOF OF THE ASM THEOREM AVOIDING THE SIX-VERTEX MODEL.JOURNAL OF COMBINATORIAL THEORY SERIES A. VOL. 144. ISSUE . P. 139 -156 21 100% 0
5 AYYER, A , ROMIK, D , (2013) NEW ENUMERATION FORMULAS FOR ALTERNATING SIGN MATRICES AND SQUARE ICE PARTITION FUNCTIONS.ADVANCES IN MATHEMATICS. VOL. 235. ISSUE . P. 161 -186 20 100% 5
6 CANTINI, L , SPORTIELLO, A , (2011) PROOF OF THE RAZUMOV-STROGANOV CONJECTURE.JOURNAL OF COMBINATORIAL THEORY SERIES A. VOL. 118. ISSUE 5. P. 1549-1574 19 100% 28
7 ROMIK, D , (2014) CONNECTIVITY PATTERNS IN LOOP PERCOLATION I: THE RATIONALITY PHENOMENON AND CONSTANT TERM IDENTITIES.COMMUNICATIONS IN MATHEMATICAL PHYSICS. VOL. 330. ISSUE 2. P. 499 -538 21 91% 2
8 BEHREND, RE , (2008) OSCULATING PATHS AND OSCILLATING TABLEAUX.ELECTRONIC JOURNAL OF COMBINATORICS. VOL. 15. ISSUE 1. P. - 27 68% 0
9 DE GIER, J , PYATOV, P , (2010) FACTORIZED SOLUTIONS OF TEMPERLEY-LIEB QKZ EQUATIONS ON A SEGMENT.ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS. VOL. 14. ISSUE 3. P. 795 -877 25 68% 5
10 HAMEL, AM , KING, RC , (2015) HALF-TURN SYMMETRIC ALTERNATING SIGN MATRICES AND TOKUYAMA TYPE FACTORISATION FOR ORTHOGONAL GROUP CHARACTERS.JOURNAL OF COMBINATORIAL THEORY SERIES A. VOL. 131. ISSUE . P. 1 -31 15 94% 1

Classes with closest relation at Level 1


Rank Class id link
1 17331 DOBRUSHIN MATH//GELFAND TSETLIN GRAPH//INFINITE DIMENSIONAL UNITARY GROUP
2 2803 INTEGRABLE SPIN CHAINS VERTEX MODELS//ALGEBRAIC BETHE ANSATZ//QUANTUM INTEGRABILITY BETHE ANSATZ
3 9297 BASIC HYPERGEOMETRIC SERIES//ABELS LEMMA ON SUMMATION BY PARTS//Q SERIES
4 19219 DIAGONAL HARMONICS//AD NILPOTENT IDEAL//CYCLIC SIEVING PHENOMENON
5 4331 RIORDAN ARRAYS//PATTERN AVOIDANCE//MAJOR INDEX
6 29359 POLYOMINO TILINGS//LATTICE PERIODIC TILINGS//TILE INVARIANTS
7 10024 BRUHAT ORDER//SCHUBERT VARIETIES//SCHUBERT POLYNOMIALS
8 21228 SYMBOLIC SUMMATION//SYMBOL COMPUTAT//BOROS MOLL POLYNOMIALS
9 11397 CRYSTAL BASES//QUANTUM AFFINE ALGEBRA//DEMAZURE MODULES
10 23769 MATCHING COVERED GRAPHS//PFAFFIAN ORIENTATION//RAY NONSINGULAR

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