Class information for:
Level 1: MONOMIAL IDEALS//EDGE IDEAL//STANLEY DEPTH

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
9189 1180 16.7 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
325 3       MATHEMATICS//COMMUNICATIONS IN ALGEBRA//JOURNAL OF ALGEBRA 38375
2282 2             LOCAL COHOMOLOGY//MONOMIAL IDEALS//LOCAL COHOMOLOGY MODULES 4604
9189 1                   MONOMIAL IDEALS//EDGE IDEAL//STANLEY DEPTH 1180

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 MONOMIAL IDEALS authKW 2242484 11% 67% 130
2 EDGE IDEAL authKW 1681597 6% 89% 73
3 STANLEY DEPTH authKW 1630573 5% 98% 64
4 TORIC IDEAL authKW 1208953 5% 81% 58
5 MARKOV BASIS authKW 654402 2% 90% 28
6 ARITHMETICAL RANK authKW 564251 2% 84% 26
7 BINOMIAL EDGE IDEALS authKW 491641 2% 100% 19
8 GRAVER BASIS authKW 450009 2% 87% 20
9 VERTEX DECOMPOSABLE authKW 419185 2% 90% 18
10 STANLEY DECOMPOSITIONS authKW 399222 2% 86% 18

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 40876 79% 0% 936
2 Mathematics, Applied 6054 29% 0% 342
3 Statistics & Probability 832 7% 0% 82
4 Computer Science, Theory & Methods 437 6% 0% 70
5 Operations Research & Management Science 154 3% 0% 36
6 Computer Science, Software Engineering 31 2% 0% 20
7 Mathematical & Computational Biology 7 1% 0% 9
8 Computer Science, Interdisciplinary Applications 6 1% 0% 15
9 Social Sciences, Mathematical Methods 1 0% 0% 3
10 Computer Science, Hardware & Architecture 0 0% 0% 4

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 CULTURE EDUC 143706 3% 19% 30
2 SCI COURSE 107814 0% 83% 5
3 PURE PL MATH 85663 5% 6% 60
4 PROJECT ID PCE 2011 1023 77627 0% 100% 3
5 WU WEN TSUN MATH CAS 77627 0% 100% 3
6 HBEREICH MATH INFORMAT 73945 5% 5% 54
7 GRP PROJECT PD 3 0235 51752 0% 100% 2
8 CNRSURA 188 46574 0% 60% 3
9 SIMION STOILOW MATH 39861 2% 7% 21
10 FB MATH INFORMAT 36095 1% 8% 17

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 COMMUTATIVE ALGEBRA 116692 3% 15% 31
2 BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE 66700 2% 9% 29
3 JOURNAL OF ALGEBRAIC COMBINATORICS 57766 4% 4% 50
4 COMMUNICATIONS IN ALGEBRA 31762 9% 1% 109
5 JOURNAL OF PURE AND APPLIED ALGEBRA 21692 6% 1% 70
6 JOURNAL OF ALGEBRA 19015 8% 1% 98
7 JOURNAL OF SYMBOLIC COMPUTATION 16517 3% 2% 38
8 JOURNAL OF COMBINATORIAL THEORY SERIES A 8032 3% 1% 32
9 BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY 7333 1% 2% 14
10 MATHEMATICA SCANDINAVICA 6727 2% 1% 19

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 MONOMIAL IDEALS 2242484 11% 67% 130 Search MONOMIAL+IDEALS Search MONOMIAL+IDEALS
2 EDGE IDEAL 1681597 6% 89% 73 Search EDGE+IDEAL Search EDGE+IDEAL
3 STANLEY DEPTH 1630573 5% 98% 64 Search STANLEY+DEPTH Search STANLEY+DEPTH
4 TORIC IDEAL 1208953 5% 81% 58 Search TORIC+IDEAL Search TORIC+IDEAL
5 MARKOV BASIS 654402 2% 90% 28 Search MARKOV+BASIS Search MARKOV+BASIS
6 ARITHMETICAL RANK 564251 2% 84% 26 Search ARITHMETICAL+RANK Search ARITHMETICAL+RANK
7 BINOMIAL EDGE IDEALS 491641 2% 100% 19 Search BINOMIAL+EDGE+IDEALS Search BINOMIAL+EDGE+IDEALS
8 GRAVER BASIS 450009 2% 87% 20 Search GRAVER+BASIS Search GRAVER+BASIS
9 VERTEX DECOMPOSABLE 419185 2% 90% 18 Search VERTEX+DECOMPOSABLE Search VERTEX+DECOMPOSABLE
10 STANLEY DECOMPOSITIONS 399222 2% 86% 18 Search STANLEY+DECOMPOSITIONS Search STANLEY+DECOMPOSITIONS

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 BIGATTI, AM , GIMENEZ, P , SAENZ-DE-CABEZON, E , (2013) INTRODUCTION.MONOMIAL IDEALS, COMPUTATIONS AND APPLICATIONS. VOL. 2083. ISSUE . P. VII -+ 78 66% 0
2 REYES, E , TATAKIS, C , THOMA, A , (2012) MINIMAL GENERATORS OF TORIC IDEALS OF GRAPHS.ADVANCES IN APPLIED MATHEMATICS. VOL. 48. ISSUE 1. P. 64-78 26 100% 12
3 KIMURA, K , (2016) NONVANISHING OF BETTI NUMBERS OF EDGE IDEALS AND COMPLETE BIPARTITE SUBGRAPHS.COMMUNICATIONS IN ALGEBRA. VOL. 44. ISSUE 2. P. 710 -730 25 96% 0
4 POURNAKI, MR , FAKHARI, SAS , TERAI, N , YASSEMI, S , (2014) SURVEY ARTICLE: SIMPLICIAL COMPLEXES SATISFYING SERRE'S CONDITION: A SURVEY WITH SOME NEW RESULTS.JOURNAL OF COMMUTATIVE ALGEBRA. VOL. 6. ISSUE 4. P. 455 -483 26 93% 0
5 ICHIM, B , KATTHAN, L , MOYANO-FERNANDEZ, JJ , (2015) THE BEHAVIOR OF STANLEY DEPTH UNDER POLARIZATION.JOURNAL OF COMBINATORIAL THEORY SERIES A. VOL. 135. ISSUE . P. 332 -347 22 96% 0
6 HIGASHIDAIRA, H , (2017) ON THE SEQUENTIALLY COHEN-MACAULAY PROPERTIES OF ALMOST COMPLETE MULTIPARTITE GRAPHS.COMMUNICATIONS IN ALGEBRA. VOL. 45. ISSUE 6. P. 2478 -2493 20 95% 0
7 POPESCU, D , ZAROJANU, A , (2015) THREE GENERATED, SQUAREFREE, MONOMIAL IDEALS.BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE. VOL. 58. ISSUE 3. P. 359 -368 18 100% 0
8 OHSUGI, H , HIBI, T , (2017) A GROBNER BASIS CHARACTERIZATION FOR CHORDAL COMPARABILITY GRAPHS.EUROPEAN JOURNAL OF COMBINATORICS. VOL. 59. ISSUE . P. 122 -128 17 100% 0
9 MORADI, S , KHOSH-AHANG, F , (2016) EXPANSION OF A SIMPLICIAL COMPLEX.JOURNAL OF ALGEBRA AND ITS APPLICATIONS. VOL. 15. ISSUE 1. P. - 17 100% 0
10 POPESCU, D , (2015) STANLEY DEPTH OF MONOMIAL IDEALS.BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE. VOL. 58. ISSUE 1. P. 95 -101 17 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 7763 HILBERT FUNCTION//GENERIC INITIAL IDEAL//WEAK LEFSCHETZ PROPERTY
2 19225 NUMERICAL SEMIGROUP//FROBENIUS NUMBER//MONOMIAL CURVE
3 14133 CD INDEX//EULERIAN POSET//FLAG F VECTOR
4 6843 REES ALGEBRA//ASSOCIATED GRADED RING//FIBER CONE
5 22474 EHRHART POLYNOMIAL//DELTA VECTOR//LATTICE POLYTOPES
6 31587 NEAR AUTOMORPHISM//SORTABILITY//CHESSBOARD PEBBLING
7 14746 LOCAL COHOMOLOGY//LOCAL COHOMOLOGY MODULES//COFINITE MODULES
8 13008 PERSISTENT HOMOLOGY//DISCRETE MORSE THEORY//COMPUTATIONAL TOPOLOGY
9 22598 DEDEKIND SUMS//SUBDIVISION ALGEBRA//EHRHART POLYNOMIAL
10 26653 SUPERSYMMETRIC ALGEBRA//GELFAND MODEL//ABSOLUTE INVOLUTIONS

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