Class information for:
Level 1: RIORDAN ARRAYS//PATTERN AVOIDANCE//MAJOR INDEX

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
4331 1803 16.9 38%


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
1244 2             FIBONACCI QUARTERLY//MULTIPLE ZETA VALUES//BERNOULLI NUMBERS 8992
4331 1                   RIORDAN ARRAYS//PATTERN AVOIDANCE//MAJOR INDEX 1803

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 RIORDAN ARRAYS authKW 547411 2% 79% 41
2 PATTERN AVOIDANCE authKW 528977 3% 55% 57
3 MAJOR INDEX authKW 485288 2% 87% 33
4 DYCK PATH authKW 436045 3% 50% 51
5 RESTRICTED PERMUTATION authKW 417261 2% 79% 31
6 PATTERN AVOIDING PERMUTATION authKW 406893 2% 83% 29
7 PERMUTATION STATISTICS authKW 383817 2% 67% 34
8 LATTICE PATHS authKW 370580 3% 36% 61
9 GENERATING TREES authKW 358322 1% 92% 23
10 CATALAN NUMBERS authKW 351971 4% 30% 69

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 51942 72% 0% 1307
2 Mathematics, Applied 16301 38% 0% 685
3 Computer Science, Theory & Methods 472 5% 0% 92
4 Statistics & Probability 378 4% 0% 73
5 Computer Science, Software Engineering 121 2% 0% 43
6 Logic 30 0% 0% 6
7 Computer Science, Information Systems 9 1% 0% 22
8 Computer Science, Cybernetics 1 0% 0% 3
9 Classics 1 0% 0% 2
10 History & Philosophy of Science -0 0% 0% 2

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 COMBINATOR 162331 5% 12% 83
2 LPMC TJKLC 127096 3% 14% 53
3 ET SUPER INGENIEROS MONTES 67732 0% 67% 6
4 TJKLC 35274 0% 42% 5
5 RI 34539 3% 4% 49
6 GEN CURRICULUM 33868 0% 100% 2
7 DIPARTIMENTO SISTEMI INFORMAT 27421 2% 5% 33
8 JOHN KNOPFMACHER PLICABLE ANAL NUMBER THE 26976 1% 12% 13
9 IRMA UMR 7501 26453 0% 31% 5
10 INRIAUCBL LIP 22577 0% 67% 2

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 ELECTRONIC JOURNAL OF COMBINATORICS 311562 12% 9% 214
2 ADVANCES IN APPLIED MATHEMATICS 221241 8% 10% 137
3 JOURNAL OF COMBINATORIAL THEORY SERIES A 154522 10% 5% 173
4 EUROPEAN JOURNAL OF COMBINATORICS 141137 9% 5% 160
5 DISCRETE MATHEMATICS 140180 17% 3% 311
6 ANNALS OF COMBINATORICS 96789 3% 11% 50
7 ARS COMBINATORIA 14282 3% 2% 56
8 DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE 10004 1% 4% 16
9 APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS 6253 1% 4% 10
10 DISCRETE APPLIED MATHEMATICS 5416 3% 1% 46

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 RIORDAN ARRAYS 547411 2% 79% 41 Search RIORDAN+ARRAYS Search RIORDAN+ARRAYS
2 PATTERN AVOIDANCE 528977 3% 55% 57 Search PATTERN+AVOIDANCE Search PATTERN+AVOIDANCE
3 MAJOR INDEX 485288 2% 87% 33 Search MAJOR+INDEX Search MAJOR+INDEX
4 DYCK PATH 436045 3% 50% 51 Search DYCK+PATH Search DYCK+PATH
5 RESTRICTED PERMUTATION 417261 2% 79% 31 Search RESTRICTED+PERMUTATION Search RESTRICTED+PERMUTATION
6 PATTERN AVOIDING PERMUTATION 406893 2% 83% 29 Search PATTERN+AVOIDING+PERMUTATION Search PATTERN+AVOIDING+PERMUTATION
7 PERMUTATION STATISTICS 383817 2% 67% 34 Search PERMUTATION+STATISTICS Search PERMUTATION+STATISTICS
8 LATTICE PATHS 370580 3% 36% 61 Search LATTICE+PATHS Search LATTICE+PATHS
9 GENERATING TREES 358322 1% 92% 23 Search GENERATING+TREES Search GENERATING+TREES
10 CATALAN NUMBERS 351971 4% 30% 69 Search CATALAN+NUMBERS Search CATALAN+NUMBERS

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 HUMPHREYS, K , (2010) A HISTORY AND A SURVEY OF LATTICE PATH ENUMERATION.JOURNAL OF STATISTICAL PLANNING AND INFERENCE. VOL. 140. ISSUE 8. P. 2237 -2254 50 66% 6
2 HE, TX , (2015) MATRIX CHARACTERIZATIONS OF RIORDAN ARRAYS.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 465. ISSUE . P. 15 -42 25 96% 0
3 SHIN, H , ZENG, J , (2016) SYMMETRIC UNIMODAL EXPANSIONS OF EXCEDANCES IN COLORED PERMUTATIONS.EUROPEAN JOURNAL OF COMBINATORICS. VOL. 52. ISSUE . P. 174 -196 20 95% 1
4 HE, TX , (2013) PARAMETRIC CATALAN NUMBERS AND CATALAN TRIANGLES.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 438. ISSUE 3. P. 1467-1484 21 100% 7
5 ZHU, BX , (2013) LOG-CONVEXITY AND STRONG Q-LOG-CONVEXITY FOR SOME TRIANGULAR ARRAYS.ADVANCES IN APPLIED MATHEMATICS. VOL. 50. ISSUE 4. P. 595 -606 22 92% 5
6 DZIEMIARICZUK, M , (2016) ON DIRECTED LATTICE PATHS WITH VERTICAL STEPS.DISCRETE MATHEMATICS. VOL. 339. ISSUE 3. P. 1116 -1139 19 95% 0
7 BLOOM, J , ELIZALDE, S , (2013) PATTERN AVOIDANCE IN MATCHINGS AND PARTITIONS.ELECTRONIC JOURNAL OF COMBINATORICS. VOL. 20. ISSUE 2. P. - 19 100% 1
8 BIEDL, T , GOLYNSKI, A , HAMEL, AM , LOPEZ-ORTIZ, A , MUNRO, JI , (2010) SORTING WITH NETWORKS OF DATA STRUCTURES.DISCRETE APPLIED MATHEMATICS. VOL. 158. ISSUE 15. P. 1579-1586 22 88% 0
9 BRANDEN, P , (2008) ACTIONS ON PERMUTATIONS AND UNIMODALITY OF DESCENT POLYNOMIALS.EUROPEAN JOURNAL OF COMBINATORICS. VOL. 29. ISSUE 2. P. 514-531 23 85% 9
10 SIMION, R , (2000) NONCROSSING PARTITIONS.DISCRETE MATHEMATICS. VOL. 217. ISSUE 1-3. P. 367 -409 46 50% 64

Classes with closest relation at Level 1


Rank Class id link
1 16742 STIRLING NUMBERS//R STIRLING NUMBERS//EULER DISTRIBUTION
2 25558 WITT BURNSIDE RING//NECKLACE RING//CYCLOTOMIC IDENTITY
3 19219 DIAGONAL HARMONICS//AD NILPOTENT IDEAL//CYCLIC SIEVING PHENOMENON
4 21228 SYMBOLIC SUMMATION//SYMBOL COMPUTAT//BOROS MOLL POLYNOMIALS
5 14133 CD INDEX//EULERIAN POSET//FLAG F VECTOR
6 16175 ALTERNATING SIGN MATRICES//PLANE PARTITIONS//AZTEC DIAMOND
7 16180 GRAY CODE//ROTATION DISTANCE//UNIVERSAL CYCLES
8 21874 ENUMERATING FUNCTION//LAGRANGIAN INVERSION//ROOTED MAP
9 10024 BRUHAT ORDER//SCHUBERT VARIETIES//SCHUBERT POLYNOMIALS
10 11002 BINARY SEARCH TREE//CONTRACTION METHOD//RANDOM TREES

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