Class information for:
Level 1: ENUMERATING FUNCTION//LAGRANGIAN INVERSION//ROOTED MAP

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
21874 402 16.6 37%



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
21874 1                   ENUMERATING FUNCTION//LAGRANGIAN INVERSION//ROOTED MAP 402

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 ENUMERATING FUNCTION authKW 1381047 5% 91% 20
2 LAGRANGIAN INVERSION authKW 1367240 4% 100% 18
3 ROOTED MAP authKW 972253 4% 80% 16
4 HARER ZAGIER FORMULA authKW 455747 1% 100% 6
5 CLASS SUMS authKW 243063 1% 80% 4
6 ENUFUNCTION authKW 243063 1% 80% 4
7 COEFFICIENT OF FRACTIONAL PARENTAGE authKW 227873 1% 100% 3
8 ONE FACE MAP authKW 227873 1% 100% 3
9 UNROOTED MAP authKW 227873 1% 100% 3
10 MAP ENUMERATION authKW 210989 1% 56% 5

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 11305 72% 0% 288
2 Mathematics, Applied 1192 22% 0% 90
3 Statistics & Probability 285 7% 0% 28
4 Computer Science, Theory & Methods 197 7% 0% 27
5 Computer Science, Software Engineering 106 4% 0% 17
6 Mathematics, Interdisciplinary Applications 84 4% 0% 15
7 COMPUTER APPLICATIONS & CYBERNETICS 27 0% 0% 1
8 Physics, Mathematical 21 3% 0% 11
9 Physics, Atomic, Molecular & Chemical 11 3% 0% 14
10 Physics, Multidisciplinary 9 4% 0% 16

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 PL ANAL NUMBER THEORY 151916 0% 100% 2
2 EQUIPE IMAGES 75958 0% 100% 1
3 EQUIPE SYNTHESE IMAGES 75958 0% 100% 1
4 INRIA NANCY GRAND EST CASSIS PROJECT 75958 0% 100% 1
5 JOHN KNOPFMACHER PLICABLE PL NUMBER THE 75958 0% 100% 1
6 LIAFA UMR CNRS 7089 75958 0% 100% 1
7 NTIS FAV 75958 0% 100% 1
8 TU WIEN DISCRETE MATH GEOMETRY 75958 0% 100% 1
9 UNITE 8049EQUIPE IMAGES 75958 0% 100% 1
10 UNITE CNRS UP A 8049 75958 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 B 43295 9% 2% 36
2 JOURNAL OF COMBINATORIAL THEORY SERIES A 23701 8% 1% 32
3 EUROPEAN JOURNAL OF COMBINATORICS 18013 7% 1% 27
4 COMBINATORICS PROBABILITY & COMPUTING 16333 3% 2% 14
5 ELECTRONIC JOURNAL OF COMBINATORICS 13433 5% 1% 21
6 DISCRETE MATHEMATICS 11434 10% 0% 42
7 RANDOM STRUCTURES & ALGORITHMS 9325 3% 1% 12
8 ADVANCES IN APPLIED MATHEMATICS 6383 3% 1% 11
9 ARS COMBINATORIA 3453 3% 0% 13
10 ANALYSIS AND MATHEMATICAL PHYSICS 2811 0% 4% 1

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 ENUMERATING FUNCTION 1381047 5% 91% 20 Search ENUMERATING+FUNCTION Search ENUMERATING+FUNCTION
2 LAGRANGIAN INVERSION 1367240 4% 100% 18 Search LAGRANGIAN+INVERSION Search LAGRANGIAN+INVERSION
3 ROOTED MAP 972253 4% 80% 16 Search ROOTED+MAP Search ROOTED+MAP
4 HARER ZAGIER FORMULA 455747 1% 100% 6 Search HARER+ZAGIER+FORMULA Search HARER+ZAGIER+FORMULA
5 CLASS SUMS 243063 1% 80% 4 Search CLASS+SUMS Search CLASS+SUMS
6 ENUFUNCTION 243063 1% 80% 4 Search ENUFUNCTION Search ENUFUNCTION
7 COEFFICIENT OF FRACTIONAL PARENTAGE 227873 1% 100% 3 Search COEFFICIENT+OF+FRACTIONAL+PARENTAGE Search COEFFICIENT+OF+FRACTIONAL+PARENTAGE
8 ONE FACE MAP 227873 1% 100% 3 Search ONE+FACE+MAP Search ONE+FACE+MAP
9 UNROOTED MAP 227873 1% 100% 3 Search UNROOTED+MAP Search UNROOTED+MAP
10 MAP ENUMERATION 210989 1% 56% 5 Search MAP+ENUMERATION Search MAP+ENUMERATION

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 MCDIARMID, C , (2013) RANDOM GRAPHS FROM A WEIGHTED MINOR-CLOSED CLASS.ELECTRONIC JOURNAL OF COMBINATORICS. VOL. 20. ISSUE 2. P. - 30 88% 1
2 GIMENEZ, O , NOY, M , RUE, J , (2013) GRAPH CLASSES WITH GIVEN 3-CONNECTED COMPONENTS: ASYMPTOTIC ENUMERATION AND RANDOM GRAPHS.RANDOM STRUCTURES & ALGORITHMS. VOL. 42. ISSUE 4. P. 438 -479 22 96% 3
3 LONG, SD , CAI, JL , (2014) ENUMERATION OF ROOTED LOOPLESS UNICURSAL PLANAR MAPS.ARS COMBINATORIA. VOL. 117. ISSUE . P. 131 -146 19 100% 0
4 MCDIARMID, C , SCOTT, A , (2016) RANDOM GRAPHS FROM A BLOCK-STABLE CLASS.EUROPEAN JOURNAL OF COMBINATORICS. VOL. 58. ISSUE . P. 96 -106 16 94% 0
5 LONG, SD , (2017) COUNTING ROOTED NONSEPARABLE UNICURSAL PLANAR MAPS.ARS COMBINATORIA. VOL. 131. ISSUE . P. 169 -181 14 100% 0
6 MCDIARMID, C , (2008) RANDOM GRAPHS ON SURFACES.JOURNAL OF COMBINATORIAL THEORY SERIES B. VOL. 98. ISSUE 4. P. 778-797 17 94% 11
7 LONG, SD , REN, H , (2014) COUNTING 2-CONNECTED 4-REGULAR MAPS ON THE PROJECTIVE PLANE.ELECTRONIC JOURNAL OF COMBINATORICS. VOL. 21. ISSUE 2. P. - 13 93% 0
8 BENDER, EA , GAO, ZC , (2011) ASYMPTOTIC ENUMERATION OF LABELLED GRAPHS BY GENUS.ELECTRONIC JOURNAL OF COMBINATORICS. VOL. 18. ISSUE 1. P. - 15 83% 3
9 CHAPUY, G , FUSY, E , GIMENEZ, O , MOHAR, B , NOY, M , (2011) ASYMPTOTIC ENUMERATION AND LIMIT LAWS FOR GRAPHS OF FIXED GENUS.JOURNAL OF COMBINATORIAL THEORY SERIES A. VOL. 118. ISSUE 3. P. 748 -777 16 76% 7
10 GAO, ZC , (2010) A FORMULA FOR THE BIVARIATE MAP ASYMPTOTICS CONSTANTS IN TERMS OF THE UNIVARIATE MAP ASYMPTOTICS CONSTANTS.ELECTRONIC JOURNAL OF COMBINATORICS. VOL. 17. ISSUE 1. P. - 16 80% 0

Classes with closest relation at Level 1



Rank Class id link
1 17162 GENUS DISTRIBUTION//MAXIMUM GENUS//JOINT TREE
2 25558 WITT BURNSIDE RING//NECKLACE RING//CYCLOTOMIC IDENTITY
3 7281 BRANCHING RANDOM WALK//CONTINUUM RANDOM TREE//BROWNIAN EXCURSION
4 17331 DOBRUSHIN MATH//GELFAND TSETLIN GRAPH//INFINITE DIMENSIONAL UNITARY GROUP
5 7151 GROMOV WITTEN INVARIANTS//ENUMERATIVE GEOMETRY//HURWITZ NUMBERS
6 21141 RANDOM MAPPINGS//ADDITIVE ARITHMETIC SEMIGROUP//CYCLE WEIGHTS
7 4331 RIORDAN ARRAYS//PATTERN AVOIDANCE//MAJOR INDEX
8 11002 BINARY SEARCH TREE//CONTRACTION METHOD//RANDOM TREES
9 20051 SUBGROUP GROWTH//SURFACE BRANCHED COVERING//HURWITZ PROBLEM
10 20637 ABSTRACT REGULAR POLYTOPES//REGULAR MAP//ABSTRACT POLYTOPE

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