Class information for:
Level 2: STANLEY DEPTH//FROBENIUS NUMBER//MONOMIAL IDEALS

Basic class information

ID Publications Average number
of references
Avg. shr. active
ref. in WoS
1896 5377 16.7 37%



Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 3)



ID, lev.
above
Publications Label for level above
116 67192 MATHEMATICS//JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//ALGEBRAIC AND GEOMETRIC TOPOLOGY

Classes in level below (level 1)



ID, lev. below Publications Label for level below
7927 1235 STANLEY DEPTH//MONOMIAL IDEALS//ARITHMETICAL RANK
10032 1034 CD INDEX//SMALL COVER//FLAG F VECTOR
13441 773 HYPERPLANE ARRANGEMENT//ORLIK SOLOMON ALGEBRA//RESONANCE VARIETY
14257 715 ERDOS SZEKERES THEOREM//COMBINATORIAL CONVEXITY//EMPTY CONVEX POLYGONS
19174 452 DEDEKIND SUMS//DEDEKIND SUM//EHRHART POLYNOMIALS
19227 450 A HYPERGEOMETRIC SYSTEMS//HYPERGEOMETRIC SYSTEM//TORIC RESIDUES
19502 438 TROPICAL GEOMETRY//TERM RANK//KAPRANOV RANK
23794 280 NUMERICAL SEMIGROUP//FROBENIUS NUMBER//NUMERICAL SEMIGROUPS

Terms with highest relevance score



Rank Term Type of term Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 STANLEY DEPTH Author keyword 206 98% 1% 52
2 FROBENIUS NUMBER Author keyword 86 82% 1% 50
3 MONOMIAL IDEALS Author keyword 83 69% 1% 71
4 ARITHMETICAL RANK Author keyword 76 93% 1% 28
5 TORIC IDEALS Author keyword 69 96% 0% 22
6 NUMERICAL SEMIGROUP Author keyword 63 62% 1% 66
7 EDGE IDEAL Author keyword 58 88% 1% 28
8 EDGE IDEALS Author keyword 51 83% 1% 29
9 MARKOV BASIS Author keyword 47 86% 0% 24
10 TORIC IDEAL Author keyword 46 76% 1% 32

Web of Science journal categories

Author Key Words



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
LCSH search Wikipedia search
1 STANLEY DEPTH 206 98% 1% 52 Search STANLEY+DEPTH Search STANLEY+DEPTH
2 FROBENIUS NUMBER 86 82% 1% 50 Search FROBENIUS+NUMBER Search FROBENIUS+NUMBER
3 MONOMIAL IDEALS 83 69% 1% 71 Search MONOMIAL+IDEALS Search MONOMIAL+IDEALS
4 ARITHMETICAL RANK 76 93% 1% 28 Search ARITHMETICAL+RANK Search ARITHMETICAL+RANK
5 TORIC IDEALS 69 96% 0% 22 Search TORIC+IDEALS Search TORIC+IDEALS
6 NUMERICAL SEMIGROUP 63 62% 1% 66 Search NUMERICAL+SEMIGROUP Search NUMERICAL+SEMIGROUP
7 EDGE IDEAL 58 88% 1% 28 Search EDGE+IDEAL Search EDGE+IDEAL
8 EDGE IDEALS 51 83% 1% 29 Search EDGE+IDEALS Search EDGE+IDEALS
9 MARKOV BASIS 47 86% 0% 24 Search MARKOV+BASIS Search MARKOV+BASIS
10 TORIC IDEAL 46 76% 1% 32 Search TORIC+IDEAL Search TORIC+IDEAL

Key Words Plus



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 POLYTOPES 98 34% 4% 233
2 CD INDEX 73 88% 1% 35
3 CONVEX POLYTOPES 64 64% 1% 63
4 ALEXANDER DUALITY 62 74% 1% 46
5 EDGE IDEALS 61 95% 0% 20
6 MONOMIAL IDEALS 59 53% 1% 79
7 MONOMIAL CURVES 56 89% 0% 25
8 HYPERPLANES 54 40% 2% 106
9 STANLEY REISNER IDEALS 33 100% 0% 13
10 LOCAL SYSTEMS 31 48% 1% 48

Journals



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 DISCRETE & COMPUTATIONAL GEOMETRY 43 14% 5% 279
2 JOURNAL OF ALGEBRAIC COMBINATORICS 12 11% 2% 106
3 JOURNAL OF COMMUTATIVE ALGEBRA 7 20% 1% 34
4 BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE 3 10% 1% 29

Reviews



Title Publ. year Cit. Active
references
% act. ref.
to same field
What is known about unit cubes 2005 10 40 48%
THE D-STEP CONJECTURE AND ITS RELATIVES 1987 55 33 33%
THE THEORY OF MOBIUS FUNCTIONS 1986 4 13 54%
New string amplitudes from old Fermat (hyper)surfaces 2004 1 12 17%
MOBIUS FUNCTIONS, INCIDENCE ALGEBRAS AND POWER-SERIES REPRESENTATIONS 1986 0 34 35%

Address terms



Rank Address term Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 SCI COURSE 8 100% 0.1% 5
2 CULTURE EDUC 6 19% 0.5% 29
3 CRC HIGHER ORDER STRUCT MATH 3 100% 0.1% 3
4 PROJECT ID PCE 2011 1023 3 100% 0.1% 3
5 CNRSURA 188 3 60% 0.1% 3
6 GRP LATTICE POLYTOPES 3 60% 0.1% 3
7 GRP PROJECT ID PCE 2011 1023 2 67% 0.0% 2
8 WALES MATH COMPUTAT SCI 2 29% 0.1% 5
9 DITPEM 1 100% 0.0% 2
10 IST GEOMETRIA 1 100% 0.0% 2

Related classes at same level (level 2)



Rank Relatedness score Related classes
1 0.0000019822 Z2K ACTION//PROJECTIVE SPACE BUNDLE//FIXED DATA
2 0.0000018804 JOURNAL OF ALGEBRAIC GEOMETRY//HILBERT SCHEME//FAT POINTS
3 0.0000018224 LOCAL COHOMOLOGY//TIGHT CLOSURE//LOCAL COHOMOLOGY MODULES
4 0.0000013772 SELF ORGANIZED CRITICALITY//CHROMATIC UNIQUENESS//CHIP FIRING
5 0.0000013323 JOURNAL OF ALGEBRA//CLUSTER CATEGORY//JOURNAL OF ALGEBRAIC COMBINATORICS
6 0.0000012246 JOURNAL OF SYMBOLIC COMPUTATION//IMPLICITIZATION//MU BASIS
7 0.0000011085 CONTINUUM RANDOM TREE//GEOMETRIC RANDOM VARIABLES//RESTRICTED PERMUTATION
8 0.0000007986 BIRTH AND DEATH CHAINS//CUTOFF PHENOMENON//LATTICE ORDERED ALGEBRA
9 0.0000007598 HOMOLOGY HOMOTOPY AND APPLICATIONS//DEFORMATION QUANTIZATION//JOURNAL OF HOMOTOPY AND RELATED STRUCTURES
10 0.0000007357 PARTIAL ORDER RANKING//EDGE RANKING//HASSE DIAGRAM TECHNIQUE