Class information for:
Level 1: JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//VASSILIEV INVARIANTS//JONES POLYNOMIAL

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
2351 2274 21.9 43%


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
281 3       MATHEMATICS//JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//ALGEBRAIC AND GEOMETRIC TOPOLOGY 42804
885 2             JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//MATHEMATICS//ALGEBRAIC AND GEOMETRIC TOPOLOGY 11426
2351 1                   JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//VASSILIEV INVARIANTS//JONES POLYNOMIAL 2274

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 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS journal 1864751 21% 28% 488
2 VASSILIEV INVARIANTS authKW 984269 4% 75% 98
3 JONES POLYNOMIAL authKW 835051 4% 62% 101
4 CONWAY POLYNOMIAL authKW 563234 2% 82% 51
5 SKEIN MODULE authKW 425429 2% 81% 39
6 HOMFLY POLYNOMIAL authKW 417727 2% 84% 37
7 LINK authKW 307951 3% 29% 79
8 FINITE TYPE INVARIANTS authKW 299757 2% 53% 42
9 KNOT authKW 283695 4% 21% 100
10 KAUFFMAN BRACKET authKW 281152 1% 63% 33

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 91696 85% 0% 1943
2 Mathematics, Applied 3177 16% 0% 360
3 Physics, Mathematical 1147 7% 0% 157
4 Physics, Particles & Fields 441 5% 0% 125
5 Physics, Nuclear 61 2% 0% 54
6 Physics, Multidisciplinary 4 3% 0% 58
7 Architecture 0 0% 0% 1
8 Logic -0 0% 0% 1
9 Mathematics, Interdisciplinary Applications -0 0% 0% 9
10 History & Philosophy of Science -1 0% 0% 1

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 QUANTUM TOPOL 80533 1% 33% 18
2 EMILE PICARD MATH 35801 0% 67% 4
3 MATH 27676 41% 0% 938
4 SUGINAMIKU 26852 0% 100% 2
5 HIGH ENERGY PHYS THEORY GRP 20972 0% 31% 5
6 MATH MS 136 17896 0% 33% 4
7 WESLEYAN STN 17896 0% 33% 4
8 QUANTUM GEOMETRY MODULI SPACES 17769 0% 19% 7
9 SUGINAMI KU 16090 1% 6% 20
10 TOPOL QUANTIZAT MODULI SPACES 15101 0% 38% 3

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 KNOT THEORY AND ITS RAMIFICATIONS 1864751 21% 28% 488
2 ALGEBRAIC AND GEOMETRIC TOPOLOGY 89962 4% 8% 89
3 TOPOLOGY AND ITS APPLICATIONS 57003 7% 3% 161
4 TOPOLOGY 54857 3% 6% 73
5 MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY 43647 4% 3% 102
6 GEOMETRY & TOPOLOGY 23507 2% 5% 39
7 OSAKA JOURNAL OF MATHEMATICS 21104 2% 3% 54
8 COMMENTARII MATHEMATICI HELVETICI 16017 2% 3% 39
9 PACIFIC JOURNAL OF MATHEMATICS 12320 3% 1% 65
10 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 8377 3% 1% 76

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 VASSILIEV INVARIANTS 984269 4% 75% 98 Search VASSILIEV+INVARIANTS Search VASSILIEV+INVARIANTS
2 JONES POLYNOMIAL 835051 4% 62% 101 Search JONES+POLYNOMIAL Search JONES+POLYNOMIAL
3 CONWAY POLYNOMIAL 563234 2% 82% 51 Search CONWAY+POLYNOMIAL Search CONWAY+POLYNOMIAL
4 SKEIN MODULE 425429 2% 81% 39 Search SKEIN+MODULE Search SKEIN+MODULE
5 HOMFLY POLYNOMIAL 417727 2% 84% 37 Search HOMFLY+POLYNOMIAL Search HOMFLY+POLYNOMIAL
6 LINK 307951 3% 29% 79 Search LINK Search LINK
7 FINITE TYPE INVARIANTS 299757 2% 53% 42 Search FINITE+TYPE+INVARIANTS Search FINITE+TYPE+INVARIANTS
8 KNOT 283695 4% 21% 100 Search KNOT Search KNOT
9 KAUFFMAN BRACKET 281152 1% 63% 33 Search KAUFFMAN+BRACKET Search KAUFFMAN+BRACKET
10 ALEXANDER POLYNOMIAL 253500 2% 39% 48 Search ALEXANDER+POLYNOMIAL Search ALEXANDER+POLYNOMIAL

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 MIRONOV, A , MOROZOV, A , MOROZOV, A , SLEPTSOV, A , (2016) HOMFLY POLYNOMIALS IN REPRESENTATION [3,1] FOR 3-STRAND BRAIDS.JOURNAL OF HIGH ENERGY PHYSICS. VOL. . ISSUE 9. P. - 59 75% 0
2 MIRONOV, A , MOROZOV, A , SLEPTSOV, A , (2015) COLORED HOMFLY POLYNOMIALS FOR THE PRETZEL KNOTS AND LINKS.JOURNAL OF HIGH ENERGY PHYSICS. VOL. . ISSUE 7. P. - 49 80% 2
3 STOIMENOW, A , (2014) ON THE CROSSING NUMBER OF SEMIADEQUATE LINKS.FORUM MATHEMATICUM. VOL. 26. ISSUE 4. P. 1187 -1246 48 79% 3
4 MIRONOV, A , MOROZOV, A , MOROZOV, A , RAMADEVI, P , SINGH, VK , SLEPTSOV, A , (2017) TABULATING KNOT POLYNOMIALS FOR ARBORESCENT KNOTS.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. VOL. 50. ISSUE 8. P. - 39 89% 0
5 MIRONOV, A , MOROZOV, A , MOROZOV, A , RAMADEVI, P , SINGH, VK , (2015) COLORED HOMFLY POLYNOMIALS OF KNOTS PRESENTED AS DOUBLE FAT DIAGRAMS.JOURNAL OF HIGH ENERGY PHYSICS. VOL. . ISSUE 7. P. - 42 81% 1
6 MOROZOV, A , (2016) FACTORIZATION OF DIFFERENTIAL EXPANSION FOR ANTIPARALLEL DOUBLE-BRAID KNOTS.JOURNAL OF HIGH ENERGY PHYSICS. VOL. . ISSUE 9. P. - 52 65% 0
7 ANOKHINA, AS , MOROZOV, AA , (2014) CABLING PROCEDURE FOR THE COLORED HOMFLY POLYNOMIALS.THEORETICAL AND MATHEMATICAL PHYSICS. VOL. 178. ISSUE 1. P. 1 -58 39 76% 20
8 KONONOV, Y , MOROZOV, A , (2015) FACTORIZATION OF COLORED KNOT POLYNOMIALS AT ROOTS OF UNITY.PHYSICS LETTERS B. VOL. 747. ISSUE . P. 500 -510 39 87% 0
9 MIRONOV, A , MOROZOV, A , MOROZOV, A , SLEPTSOV, A , (2016) RACAH MATRICES AND HIDDEN INTEGRABILITY IN EVOLUTION OF KNOTS.PHYSICS LETTERS B. VOL. 760. ISSUE . P. 45 -58 34 94% 0
10 MOROZOV, A , (2016) DIFFERENTIAL EXPANSION AND RECTANGULAR HOMFLY FORTHEFIGURE EIGHT KNOT.NUCLEAR PHYSICS B. VOL. 911. ISSUE . P. 582 -605 42 75% 0

Classes with closest relation at Level 1


Rank Class id link
1 10734 KHOVANOV HOMOLOGY//HEEGAARD FLOER HOMOLOGY//CONTACT STRUCTURE
2 13819 VIRTUAL KNOT//QUANDLE//JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS
3 36118 KNOT SPINNING//SIMPLE KNOT//4 KNOT
4 1743 HEEGAARD SPLITTING//DEHN SURGERY//3 MANIFOLD
5 31299 TOPOLOGICAL BASIS//KNOT MOSAIC//QUANTUM KNOT
6 35025 VANISHING HESSIAN//SCORZA VARIETY//ACCOMMODATION AND RESISTANCE
7 14483 CHROMATIC POLYNOMIAL//TUTTE POLYNOMIAL//CHROMATIC UNIQUENESS
8 14464 MAPPING CLASS GROUP//JOHNSON HOMOMORPHISM//TORELLI GROUP
9 15085 BRAID GROUP//GARSIDE GROUPS//ARTIN GROUPS
10 34546 POLYNOMIAL KNOTS//CHEBYSHEV CURVES//LISSAJOUS KNOTS

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