Class information for:
Level 1: VIRTUAL KNOT//QUANDLE//JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
13819 811 15.6 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
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
13819 1                   VIRTUAL KNOT//QUANDLE//JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS 811

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 VIRTUAL KNOT authKW 3636727 13% 89% 109
2 QUANDLE authKW 3117786 11% 91% 91
3 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS journal 2277020 40% 19% 322
4 VIRTUAL LINK authKW 970580 5% 66% 39
5 SURFACE LINK authKW 792286 3% 96% 22
6 BIQUANDLE authKW 677701 2% 100% 18
7 QUANDLE HOMOLOGY authKW 677701 2% 100% 18
8 KNOTTED SURFACE authKW 642468 3% 74% 23
9 COCYCLE INVARIANTS authKW 564751 2% 100% 15
10 ENHANCEMENTS OF COUNTING INVARIANTS authKW 564751 2% 100% 15

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 42611 97% 0% 789
2 Mathematics, Applied 1328 17% 0% 138
3 Physics, Mathematical 1 1% 0% 8
4 Multidisciplinary Sciences -0 0% 0% 2
5 Computer Science, Theory & Methods -1 0% 0% 4
6 Mathematics, Interdisciplinary Applications -1 0% 0% 2
7 Computer Science, Software Engineering -1 0% 0% 2
8 Statistics & Probability -3 0% 0% 1
9 Mechanics -6 0% 0% 2
10 Physics, Particles & Fields -6 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 CHAIR DIFFERENTIAL GEOMETRY PLICAT 100398 0% 67% 4
2 MADN MATH 84711 0% 75% 3
3 QUANTUM TOPOL 44609 1% 15% 8
4 1 HIROSAWA 37650 0% 100% 1
5 BIOL MATH DYNAM CELLULAR PROC 37650 0% 100% 1
6 CHAIR FN 12 37650 0% 100% 1
7 ESPE BASSE NORMANDIE 37650 0% 100% 1
8 LOG COMPUTACO 37650 0% 100% 1
9 MATH 2176 37650 0% 100% 1
10 MENTAL HLTH WELFARE 37650 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 KNOT THEORY AND ITS RAMIFICATIONS 2277020 40% 19% 322
2 OSAKA JOURNAL OF MATHEMATICS 27849 5% 2% 37
3 TOPOLOGY AND ITS APPLICATIONS 25271 8% 1% 64
4 ALGEBRAIC AND GEOMETRIC TOPOLOGY 19893 3% 2% 25
5 FUNDAMENTA MATHEMATICAE 10242 3% 1% 23
6 HIROSHIMA MATHEMATICAL JOURNAL 7477 1% 3% 6
7 HOMOLOGY HOMOTOPY AND APPLICATIONS 4972 1% 2% 7
8 TOPOLOGY 4865 2% 1% 13
9 MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY 3381 2% 1% 17
10 DOKLADY MATHEMATICS 2745 2% 0% 15

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 VIRTUAL KNOT 3636727 13% 89% 109 Search VIRTUAL+KNOT Search VIRTUAL+KNOT
2 QUANDLE 3117786 11% 91% 91 Search QUANDLE Search QUANDLE
3 VIRTUAL LINK 970580 5% 66% 39 Search VIRTUAL+LINK Search VIRTUAL+LINK
4 SURFACE LINK 792286 3% 96% 22 Search SURFACE+LINK Search SURFACE+LINK
5 BIQUANDLE 677701 2% 100% 18 Search BIQUANDLE Search BIQUANDLE
6 QUANDLE HOMOLOGY 677701 2% 100% 18 Search QUANDLE+HOMOLOGY Search QUANDLE+HOMOLOGY
7 KNOTTED SURFACE 642468 3% 74% 23 Search KNOTTED+SURFACE Search KNOTTED+SURFACE
8 COCYCLE INVARIANTS 564751 2% 100% 15 Search COCYCLE+INVARIANTS Search COCYCLE+INVARIANTS
9 ENHANCEMENTS OF COUNTING INVARIANTS 564751 2% 100% 15 Search ENHANCEMENTS+OF+COUNTING+INVARIANTS Search ENHANCEMENTS+OF+COUNTING+INVARIANTS
10 SURFACE KNOT 554476 2% 82% 18 Search SURFACE+KNOT Search SURFACE+KNOT

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 KAUFFMAN, LH , MANTUROV, VO , (2005) VIRTUAL BIQUANDLES.FUNDAMENTA MATHEMATICAE. VOL. 188. ISSUE . P. 103-146 28 100% 21
2 FENN, R , KAUFFMAN, LH , MANTUROV, VO , (2005) VIRTUAL KNOT THEORY - UNSOLVED PROBLEMS.FUNDAMENTA MATHEMATICAE. VOL. 188. ISSUE . P. 293 -323 39 71% 22
3 BARDAKOV, VG , BELLINGERI, P , DAMIANI, C , (2015) UNRESTRICTED VIRTUAL BRAIDS, FUSED LINKS AND OTHER QUOTIENTS OF VIRTUAL BRAID GROUPS.JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS. VOL. 24. ISSUE 12. P. - 21 95% 2
4 WINTER, BK , (2015) VIRTUAL LINKS IN ARBITRARY DIMENSIONS.JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS. VOL. 24. ISSUE 14. P. - 20 100% 1
5 CLARK, WE , ELHAMDADI, M , SAITO, M , YEATMAN, T , (2014) QUANDLE COLORINGS OF KNOTS AND APPLICATIONS.JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS. VOL. 23. ISSUE 6. P. - 19 95% 6
6 CHENG, ZY , GAO, HZ , (2015) POSITIVE QUANDLE HOMOLOGY AND ITS APPLICATIONS IN KNOT THEORY.ALGEBRAIC AND GEOMETRIC TOPOLOGY. VOL. 15. ISSUE 2. P. 933 -963 19 95% 0
7 IM, YH , KIM, S , LEE, K , (2011) INVARIANTS OF FLAT VIRTUAL LINKS INDUCED FROM VASSILIEV INVARIANTS OF DEGREE ONE FOR VIRTUAL LINKS.JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS. VOL. 20. ISSUE 12. P. 1649-1667 19 100% 0
8 KAUFFMAN, LH , MANTUROV, VO , (2015) GRAPHICAL CONSTRUCTIONS FOR THE SL(3), C-2 AND G(2) INVARIANTS FOR VIRTUAL KNOTS, VIRTUAL BRAIDS AND FREE KNOTS.JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS. VOL. 24. ISSUE 6. P. - 18 95% 0
9 KAMADA, S , KIM, J , LEE, SY , (2015) COMPUTATIONS OF QUANDLE COCYCLE INVARIANTS OF SURFACE-LINKS USING MARKED GRAPH DIAGRAMS.JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS. VOL. 24. ISSUE 10. P. - 17 100% 0
10 SATOH, S , (2016) THE LENGTH OF A 3-COCYCLE OF THE 5-DIHEDRAL QUANDLE.ALGEBRAIC AND GEOMETRIC TOPOLOGY. VOL. 16. ISSUE 6. P. 3325 -3359 16 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 2351 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//VASSILIEV INVARIANTS//JONES POLYNOMIAL
2 15085 BRAID GROUP//GARSIDE GROUPS//ARTIN GROUPS
3 19662 DIFFERENTIAL GEOMETRY//DELETED PRODUCT//LINK MAP
4 36118 KNOT SPINNING//SIMPLE KNOT//4 KNOT
5 30731 SMALE WILLIAMS SOLENOID//KOTELNIKOVS RADIOENGN ELECT//COVERING MOVE
6 10734 KHOVANOV HOMOLOGY//HEEGAARD FLOER HOMOLOGY//CONTACT STRUCTURE
7 31299 TOPOLOGICAL BASIS//KNOT MOSAIC//QUANTUM KNOT
8 14483 CHROMATIC POLYNOMIAL//TUTTE POLYNOMIAL//CHROMATIC UNIQUENESS
9 30512 LIGHTS OUT PUZZLE//LIGHTS OUT//CHEBYSHEV DICKSON POLYNOMIAL
10 1743 HEEGAARD SPLITTING//DEHN SURGERY//3 MANIFOLD

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