Class information for:
Level 1: CIRCLE PATTERN//FLEXIBLE POLYHEDRON//ACUTE TRIANGULATIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
20314 466 18.3 35%


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
3335 2             GEOMETRIC CONSTRAINT SOLVING//EUCLIDEAN DISTANCE MATRICES//INFINITESIMAL RIGIDITY 1779
20314 1                   CIRCLE PATTERN//FLEXIBLE POLYHEDRON//ACUTE TRIANGULATIONS 466

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 CIRCLE PATTERN authKW 609888 2% 85% 11
2 FLEXIBLE POLYHEDRON authKW 465958 2% 89% 8
3 ACUTE TRIANGULATIONS authKW 419360 2% 80% 8
4 HYPERBOLIC TETRAHEDRON authKW 327628 1% 100% 5
5 KNESER POULSEN CONJECTURE authKW 327628 1% 100% 5
6 CIRCLE PACKING authKW 304739 4% 23% 20
7 COMBINATORIAL YAMABE FLOW authKW 262102 1% 100% 4
8 DISCRETE CONFORMAL GEOMETRY authKW 262102 1% 100% 4
9 30G62 authKW 196577 1% 100% 3
10 65N10 authKW 196577 1% 100% 3

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 19948 88% 0% 410
2 Mathematics, Applied 821 18% 0% 82
3 Computer Science, Theory & Methods 611 11% 0% 49
4 Computer Science, Software Engineering 38 3% 0% 12
5 Physics, Mathematical 4 2% 0% 7
6 Multidisciplinary Sciences 2 1% 0% 3
7 Imaging Science & Photographic Technology 0 0% 0% 1
8 Computer Science, Information Systems -0 1% 0% 3
9 Telecommunications -0 1% 0% 3
10 Mathematics, Interdisciplinary Applications -0 0% 0% 2

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 ABDUS SALEM MATH SCI 65526 0% 100% 1
2 CNRS URA 1165 65526 0% 100% 1
3 EQUIPE PROBABILITES 65526 0% 100% 1
4 MATH MA 8 4 65526 0% 100% 1
5 RIED 65526 0% 100% 1
6 SEKR MA 8 5 32762 0% 50% 1
7 GEOMETR MODELLING MULTIMEDIA ALGORITHMS 21841 0% 33% 1
8 IBSG 21841 0% 33% 1
9 MATEMAT TILASTOTIETEEN LAITOS 21841 0% 33% 1
10 MATH MA 8 3 21841 0% 33% 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 DISCRETE & COMPUTATIONAL GEOMETRY 48351 8% 2% 39
2 GEOMETRIAE DEDICATA 10585 5% 1% 22
3 JOURNAL OF DIFFERENTIAL GEOMETRY 9795 3% 1% 16
4 RUSSIAN MATHEMATICAL SURVEYS 7686 4% 1% 17
5 SIBERIAN MATHEMATICAL JOURNAL 5539 3% 1% 16
6 PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS 3062 2% 1% 7
7 ADVANCES IN GEOMETRY 2776 1% 1% 5
8 JOURNAL D ANALYSE MATHEMATIQUE 2721 2% 1% 7
9 DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS 2633 2% 1% 7
10 EUROPEAN JOURNAL OF COMBINATORICS 2565 2% 0% 11

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 CIRCLE PATTERN 609888 2% 85% 11 Search CIRCLE+PATTERN Search CIRCLE+PATTERN
2 FLEXIBLE POLYHEDRON 465958 2% 89% 8 Search FLEXIBLE+POLYHEDRON Search FLEXIBLE+POLYHEDRON
3 ACUTE TRIANGULATIONS 419360 2% 80% 8 Search ACUTE+TRIANGULATIONS Search ACUTE+TRIANGULATIONS
4 HYPERBOLIC TETRAHEDRON 327628 1% 100% 5 Search HYPERBOLIC+TETRAHEDRON Search HYPERBOLIC+TETRAHEDRON
5 KNESER POULSEN CONJECTURE 327628 1% 100% 5 Search KNESER+POULSEN+CONJECTURE Search KNESER+POULSEN+CONJECTURE
6 CIRCLE PACKING 304739 4% 23% 20 Search CIRCLE+PACKING Search CIRCLE+PACKING
7 COMBINATORIAL YAMABE FLOW 262102 1% 100% 4 Search COMBINATORIAL+YAMABE+FLOW Search COMBINATORIAL+YAMABE+FLOW
8 DISCRETE CONFORMAL GEOMETRY 262102 1% 100% 4 Search DISCRETE+CONFORMAL+GEOMETRY Search DISCRETE+CONFORMAL+GEOMETRY
9 30G62 196577 1% 100% 3 Search 30G62 Search 30G62
10 65N10 196577 1% 100% 3 Search 65N10 Search 65N10

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 ZHANG, M , GUO, R , ZENG, W , LUO, F , YAU, ST , GU, XF , (2014) THE UNIFIED DISCRETE SURFACE RICCI FLOW.GRAPHICAL MODELS. VOL. 76. ISSUE . P. 321 -339 23 79% 1
2 BOBENKO, AI , DIMITROV, N , SECHELMANN, S , (2017) DISCRETE UNIFORMIZATION OF POLYHEDRAL SURFACES WITH NON-POSITIVE CURVATURE AND BRANCHED COVERS OVER THE SPHERE VIA HYPER-IDEAL CIRCLE PATTERNS.DISCRETE & COMPUTATIONAL GEOMETRY. VOL. 57. ISSUE 2. P. 431 -469 19 90% 0
3 FENG, X , YUAN, LP , ZAMFIRESCU, T , (2015) ACUTE TRIANGULATIONS OF ARCHIMEDEAN SURFACES. THE TRUNCATED TETRAHEDRON.BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE. VOL. 58. ISSUE 3. P. 271 -282 16 100% 0
4 HUANG, XJ , SHEN, L , (2009) ON THE CONVERGENCE OF CIRCLE PACKINGS TO THE QUASICONFORMAL MAP.ACTA MATHEMATICA SCIENTIA. VOL. 29. ISSUE 5. P. 1173 -1181 18 100% 3
5 DIMITROV, N , (2015) HYPER-IDEAL CIRCLE PATTERNS WITH CONE SINGULARITIES.RESULTS IN MATHEMATICS. VOL. 68. ISSUE 3-4. P. 455 -499 15 100% 0
6 ZAMFIRESCU, CT , (2013) SURVEY OF TWO-DIMENSIONAL ACUTE TRIANGULATIONS.DISCRETE MATHEMATICS. VOL. 313. ISSUE 1. P. 35 -49 24 63% 5
7 HU, HY , LAN, SY , (2014) APPROXIMATION OF QUASICONFORMAL MAPPINGS BY SG CIRCLE PATTERNS.APPLICABLE ANALYSIS. VOL. 93. ISSUE 11. P. 2360 -2369 16 94% 0
8 SCHLENKER, JM , (2008) CIRCLE PATTERNS ON SINGULAR SURFACES.DISCRETE & COMPUTATIONAL GEOMETRY. VOL. 40. ISSUE 1. P. 47 -102 19 86% 4
9 SABITOV, IK , (2011) ALGEBRAIC METHODS FOR SOLUTION OF POLYHEDRA.RUSSIAN MATHEMATICAL SURVEYS. VOL. 66. ISSUE 3. P. 445 -505 22 65% 7
10 COLLINS, CR , STEPHENSON, K , (2003) A CIRCLE PACKING ALGORITHM.COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS. VOL. 25. ISSUE 3. P. 233-256 19 86% 55

Classes with closest relation at Level 1


Rank Class id link
1 29467 CYCLIC POLYGON//EQUIDISSECTION//MECHANICAL LINKAGE
2 13823 COMPLEX HYPERBOLIC GEOMETRY//JORGENSENS INEQUALITY//COMPLEX HYPERBOLIC SPACE
3 34538 ORTHOCENTRIC SIMPLEX//MASS POINT SYSTEM//RECTANGULAR SIMPLEX
4 32171 CIRCLE ORDER//GEOMETRIC CONTAINMENT//SPHERE CONTAINMENT ORDER
5 5722 TEICHMULLER SPACE//MAPPING CLASS GROUP//KLEINIAN GROUPS
6 15350 SCHRAMM LOEWNER EVOLUTION//STOCHASTIC LOEWNER EVOLUTION//LOOP ERASED RANDOM WALK
7 6252 ACM TRANSACTIONS ON GRAPHICS//COMPUTER GRAPHICS FORUM//SURFACE PARAMETERIZATION
8 11794 GROMOV HYPERBOLICITY//INFINITE GRAPHS//TRANSFINITE GRAPHS
9 16114 GEOMETRIC CONSTRAINT SOLVING//EUCLIDEAN DISTANCE MATRICES//EUCLIDEAN DISTANCE MATRIX
10 1743 HEEGAARD SPLITTING//DEHN SURGERY//3 MANIFOLD

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