Class information for:
Level 1: SKEW LOOP//TANTRIX//FOUR VERTEX THEOREM

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
25454 281 14.4 27%


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
94 3       MATHEMATICS//MATHEMATICS, APPLIED//MATH 76582
291 2             MATHEMATICS//ANNALS OF GLOBAL ANALYSIS AND GEOMETRY//DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS 18882
25454 1                   SKEW LOOP//TANTRIX//FOUR VERTEX THEOREM 281

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 SKEW LOOP authKW 869331 3% 100% 8
2 TANTRIX authKW 543332 2% 100% 5
3 FOUR VERTEX THEOREM authKW 325999 1% 100% 3
4 SADOWSKY FUNCTIONAL authKW 325999 1% 100% 3
5 MATH SOFT MATTER UNIT address 257568 3% 30% 8
6 JALISCO SN address 217333 1% 100% 2
7 K REGULAR MAPS authKW 217333 1% 100% 2
8 SKEWLOOP authKW 217333 1% 100% 2
9 TIGHT IMMERSION authKW 217333 1% 100% 2
10 TRIPOD CONFIGURATIONS authKW 217333 1% 100% 2

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 11321 85% 0% 240
2 Mathematics, Applied 576 19% 0% 53
3 Engineering, General 45 4% 0% 10
4 Mechanics 15 4% 0% 10
5 Telecommunications 5 2% 0% 5
6 Computer Science, Software Engineering 4 1% 0% 4
7 Computer Science, Artificial Intelligence 2 1% 0% 4
8 Multidisciplinary Sciences 2 1% 0% 2
9 Physics, Mathematical 0 1% 0% 3
10 Imaging Science & Photographic Technology 0 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 MATH SOFT MATTER UNIT 257568 3% 30% 8
2 JALISCO SN 217333 1% 100% 2
3 AUTOMAT LEARNING MED ROBOT CAL MR 108666 0% 100% 1
4 GEOMETRIA TOPOLOG 108666 0% 100% 1
5 IND 28 108666 0% 100% 1
6 MINERAL VALENCIANA GUANAJUATO 108666 0% 100% 1
7 PEOPLE ROBOTS INITIAT 108666 0% 100% 1
8 UC BERKELEY INFORMAT TECHNOL INTE T SOC CIT 108666 0% 100% 1
9 IND INGN BIOTECH 97796 1% 30% 3
10 IND INGENIEUR BIOTECH 27165 0% 25% 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 GEOMETRIAE DEDICATA 17582 8% 1% 22
2 COMMENTARII MATHEMATICI HELVETICI 10340 4% 1% 11
3 AMERICAN MATHEMATICAL MONTHLY 7869 5% 1% 14
4 JOURNAL OF ELASTICITY 5687 3% 1% 9
5 TOPOLOGY 5330 3% 1% 8
6 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS 5117 3% 1% 9
7 JOURNAL OF DIFFERENTIAL GEOMETRY 3105 2% 0% 7
8 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 1855 6% 0% 17
9 CARTOGRAPHY AND GEOGRAPHIC INFORMATION SYSTEMS 1779 0% 2% 1
10 ALGEBRAIC AND GEOMETRIC TOPOLOGY 1465 1% 0% 4

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 SKEW LOOP 869331 3% 100% 8 Search SKEW+LOOP Search SKEW+LOOP
2 TANTRIX 543332 2% 100% 5 Search TANTRIX Search TANTRIX
3 FOUR VERTEX THEOREM 325999 1% 100% 3 Search FOUR+VERTEX+THEOREM Search FOUR+VERTEX+THEOREM
4 SADOWSKY FUNCTIONAL 325999 1% 100% 3 Search SADOWSKY+FUNCTIONAL Search SADOWSKY+FUNCTIONAL
5 K REGULAR MAPS 217333 1% 100% 2 Search K+REGULAR+MAPS Search K+REGULAR+MAPS
6 SKEWLOOP 217333 1% 100% 2 Search SKEWLOOP Search SKEWLOOP
7 TIGHT IMMERSION 217333 1% 100% 2 Search TIGHT+IMMERSION Search TIGHT+IMMERSION
8 TRIPOD CONFIGURATIONS 217333 1% 100% 2 Search TRIPOD+CONFIGURATIONS Search TRIPOD+CONFIGURATIONS
9 TWO PIECE PROPERTY 217333 1% 100% 2 Search TWO+PIECE+PROPERTY Search TWO+PIECE+PROPERTY
10 SEXTACTIC POINTS 144887 1% 67% 2 Search SEXTACTIC+POINTS Search SEXTACTIC+POINTS

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 CHEN, YC , FRIED, E , (2016) MOBIUS BANDS, UNSTRETCHABLE MATERIAL SHEETS AND DEVELOPABLE SURFACES.PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES. VOL. 472. ISSUE 2192. P. - 16 89% 0
2 GHOMI, M , (2013) TANGENT LINES, INFLECTIONS, AND VERTICES OF CLOSED CURVES.DUKE MATHEMATICAL JOURNAL. VOL. 162. ISSUE 14. P. 2691-2730 15 79% 1
3 TABACHNIKOV, S , (2010) EXISTENCE AND NONEXISTENCE OF SKEW BRANES.JOURNAL OF FIXED POINT THEORY AND APPLICATIONS. VOL. 7. ISSUE 2. P. 419-431 11 100% 0
4 GHOMI, M , (2012) DEFORMATIONS OF UNBOUNDED CONVEX BODIES AND HYPERSURFACES.AMERICAN JOURNAL OF MATHEMATICS. VOL. 134. ISSUE 6. P. 1585-1611 12 75% 0
5 HARRISON, M , (2016) SKEW FLAT FIBRATIONS.MATHEMATISCHE ZEITSCHRIFT. VOL. 282. ISSUE 1-2. P. 203 -221 9 90% 0
6 STAROSTIN, EL , VAN DER HEIJDEN, GHM , (2015) EQUILIBRIUM SHAPES WITH STRESS LOCALISATION FOR INEXTENSIBLE ELASTIC MOBIUS AND OTHER STRIPS.JOURNAL OF ELASTICITY. VOL. 119. ISSUE 1-2. P. 67 -112 15 36% 4
7 GHOMI, M , TABACHNIKOV, S , (2008) TOTALLY SKEW EMBEDDINGS OF MANIFOLDS.MATHEMATISCHE ZEITSCHRIFT. VOL. 258. ISSUE 3. P. 499-512 9 69% 6
8 FREDDI, L , HORNUNG, P , MORA, MG , PARONI, R , (2016) A CORRECTED SADOWSKY FUNCTIONAL FOR INEXTENSIBLE ELASTIC RIBBONS.JOURNAL OF ELASTICITY. VOL. 123. ISSUE 2. P. 125 -136 7 64% 1
9 STOJANOVIC, G , (2006) EMBEDDINGS WITH MULTIPLE REGULARITY.GEOMETRIAE DEDICATA. VOL. 123. ISSUE 1. P. 1-10 6 100% 6
10 STOJANOVIC, G , TABACHNIKOV, S , (2006) NON-EXISTENCE OF N-DIMENSIONAL T-EMBEDDED DISCS IN R-2N.COMMENTARII MATHEMATICI HELVETICI. VOL. 81. ISSUE 4. P. 877-882 6 100% 2

Classes with closest relation at Level 1


Rank Class id link
1 34062 CURVATURE BOUNDED ABOVE//CATK SPACES//LAMBDA CONVEX SET
2 35850 CHARACTERISTIC RANK//CUP LENGTH//ALGEBRA GEOMETRY MATH EDUC
3 19052 WILLMORE FUNCTIONAL//ELASTIC CURVES//WILLMORE SURFACES
4 7469 LEGENDRIAN SINGULARITIES//PRINCIPAL CURVATURE LINES//GRP MATH SCI
5 19662 DIFFERENTIAL GEOMETRY//DELETED PRODUCT//LINK MAP
6 35346 C INFINITY TOPOLOGY//ORBIT PRESERVING DIFFEOMORPHISM//2 JET
7 23220 GEOMETRIC MOMENTUM//GEOMETRIC POTENTIAL//CENTER OF MASS STATES
8 23427 SLANT HELIX//GENERAL HELIX//BERTRAND CURVE
9 10897 KNOT ENERGY//ROPELENGTH//MOBIUS ENERGY
10 17113 MONGE AMPERE EQUATION//HESSIAN EQUATION//BERNSTEIN PROPERTY

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