Class information for:
Level 2: GEOMETRIC CONSTRAINT SOLVING//EUCLIDEAN DISTANCE MATRICES//INFINITESIMAL RIGIDITY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
3335 1779 21.4 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
16114 1                   GEOMETRIC CONSTRAINT SOLVING//EUCLIDEAN DISTANCE MATRICES//EUCLIDEAN DISTANCE MATRIX 672
20314 1                   CIRCLE PATTERN//FLEXIBLE POLYHEDRON//ACUTE TRIANGULATIONS 466
25419 1                   DISCRETE GEODESICS//FERMAT WEBER CENTER//GRID UNFOLDING 282
29467 1                   CYCLIC POLYGON//EQUIDISSECTION//MECHANICAL LINKAGE 186
30184 1                   BIPARTITE SELF COMPLEMENTARY GRAPH//MATRIX SYMMETRIZATION//NEXUS NETWORK JOURNAL 173

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 GEOMETRIC CONSTRAINT SOLVING authKW 444988 2% 79% 33
2 EUCLIDEAN DISTANCE MATRICES authKW 302742 1% 84% 21
3 INFINITESIMAL RIGIDITY authKW 286037 1% 83% 20
4 EUCLIDEAN DISTANCE MATRIX authKW 235352 1% 57% 24
5 BAR AND JOINT FRAMEWORKS authKW 190107 1% 92% 12
6 GENERIC RIGIDITY authKW 176526 1% 86% 12
7 RIGIDITY MATROID authKW 173054 1% 92% 11
8 UNIVERSAL RIGIDITY authKW 171626 1% 100% 10
9 COMBINATORIAL RIGIDITY authKW 170610 1% 76% 13
10 CIRCLE PATTERN authKW 159741 1% 85% 11

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 24716 51% 0% 905
2 Mathematics, Applied 8021 27% 0% 485
3 Computer Science, Theory & Methods 6520 17% 0% 304
4 Computer Science, Software Engineering 3534 11% 0% 190
5 Architecture 706 1% 0% 18
6 Robotics 511 2% 0% 29
7 Operations Research & Management Science 294 3% 0% 60
8 History & Philosophy of Science 227 1% 0% 24
9 Computer Science, Artificial Intelligence 175 3% 0% 57
10 Computer Science, Information Systems 148 3% 0% 53

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 GRP INFORMAT ENGN 120138 0% 100% 7
2 D CUBED 102976 0% 100% 6
3 PL MATH IMECC UNICAMP 102976 0% 100% 6
4 COPRIN PROJECT 68650 0% 100% 4
5 MOVI PROJECT 34325 0% 100% 2
6 ABDUS SALEM MATH SCI 17163 0% 100% 1
7 ACT NORON 17163 0% 100% 1
8 AUTOMAT DATA C TURE 17163 0% 100% 1
9 C TJ AN SCI TECHNOL AGCY JST 17163 0% 100% 1
10 CNRS UP A 60 85 17163 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 DISCRETE & COMPUTATIONAL GEOMETRY 111997 7% 6% 116
2 INTERNATIONAL JOURNAL OF COMPUTATIONAL GEOMETRY & APPLICATIONS 29746 2% 5% 33
3 COMPUTER-AIDED DESIGN 25482 4% 2% 67
4 NEXUS NETWORK JOURNAL 22958 1% 9% 15
5 COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS 21724 2% 3% 37
6 COMPUTERS & MATHEMATICS WITH APPLICATIONS-PART B 10769 0% 9% 7
7 MATHEMATICAL INTELLIGENCER 9202 1% 3% 18
8 GEOMETRIAE DEDICATA 9124 2% 1% 40
9 EUROPEAN JOURNAL OF COMBINATORICS 4335 2% 1% 28
10 GRAPHS AND COMBINATORICS 3864 1% 1% 21

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 GEOMETRIC CONSTRAINT SOLVING 444988 2% 79% 33 Search GEOMETRIC+CONSTRAINT+SOLVING Search GEOMETRIC+CONSTRAINT+SOLVING
2 EUCLIDEAN DISTANCE MATRICES 302742 1% 84% 21 Search EUCLIDEAN+DISTANCE+MATRICES Search EUCLIDEAN+DISTANCE+MATRICES
3 INFINITESIMAL RIGIDITY 286037 1% 83% 20 Search INFINITESIMAL+RIGIDITY Search INFINITESIMAL+RIGIDITY
4 EUCLIDEAN DISTANCE MATRIX 235352 1% 57% 24 Search EUCLIDEAN+DISTANCE+MATRIX Search EUCLIDEAN+DISTANCE+MATRIX
5 BAR AND JOINT FRAMEWORKS 190107 1% 92% 12 Search BAR+AND+JOINT+FRAMEWORKS Search BAR+AND+JOINT+FRAMEWORKS
6 GENERIC RIGIDITY 176526 1% 86% 12 Search GENERIC+RIGIDITY Search GENERIC+RIGIDITY
7 RIGIDITY MATROID 173054 1% 92% 11 Search RIGIDITY+MATROID Search RIGIDITY+MATROID
8 UNIVERSAL RIGIDITY 171626 1% 100% 10 Search UNIVERSAL+RIGIDITY Search UNIVERSAL+RIGIDITY
9 COMBINATORIAL RIGIDITY 170610 1% 76% 13 Search COMBINATORIAL+RIGIDITY Search COMBINATORIAL+RIGIDITY
10 CIRCLE PATTERN 159741 1% 85% 11 Search CIRCLE+PATTERN Search CIRCLE+PATTERN

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 LIBERTI, L , LAVOR, C , MACULAN, N , MUCHERINO, A , (2014) EUCLIDEAN DISTANCE GEOMETRY AND APPLICATIONS.SIAM REVIEW. VOL. 56. ISSUE 1. P. 3 -69 53 50% 18
2 HOFFMANN, CM , BETTIG, B , (2011) GEOMETRIC CONSTRAINT SOLVING IN PARAMETRIC COMPUTER-AIDED DESIGN.JOURNAL OF COMPUTING AND INFORMATION SCIENCE IN ENGINEERING. VOL. 11. ISSUE 2. P. - 35 74% 8
3 ALFAKIH, AY , ANJOS, MF , PICCIALLI, V , WOLKOWICZ, H , (2011) EUCLIDEAN DISTANCE MATRICES, SEMIDEFINITE PROGRAMMING AND SENSOR NETWORK LOCALIZATION.PORTUGALIAE MATHEMATICA. VOL. 68. ISSUE 1. P. 53 -102 34 64% 7
4 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
5 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
6 LAVOR, C , LIBERTI, L , MACULAN, N , MUCHERINO, A , (2012) THE DISCRETIZABLE MOLECULAR DISTANCE GEOMETRY PROBLEM.COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. VOL. 52. ISSUE 1. P. 115 -146 22 85% 3
7 SABITOV, IK , (2011) ALGEBRAIC METHODS FOR SOLUTION OF POLYHEDRA.RUSSIAN MATHEMATICAL SURVEYS. VOL. 66. ISSUE 3. P. 445 -505 25 74% 7
8 THIERRY, SEB , SCHRECK, P , MICHELUCCI, D , FUNFZIG, C , GENEVAUX, JD , (2011) EXTENSIONS OF THE WITNESS METHOD TO CHARACTERIZE UNDER-, OVER- AND WELL-CONSTRAINED GEOMETRIC CONSTRAINT SYSTEMS.COMPUTER-AIDED DESIGN. VOL. 43. ISSUE 10. P. 1234 -1249 19 95% 2
9 JERMANN, C , TROMBETTONI, G , NEVEU, B , MATHIS, P , (2006) DECOMPOSITION OF GEOMETRIC CONSTRAINT SYSTEMS: A SURVEY.INTERNATIONAL JOURNAL OF COMPUTATIONAL GEOMETRY & APPLICATIONS. VOL. 16. ISSUE 5-6. P. 379 -414 22 88% 27
10 TANIGAWA, SI , (2015) MATROIDS OF GAIN GRAPHS IN APPLIED DISCRETE GEOMETRY.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 367. ISSUE 12. P. 8597 -8641 20 80% 1

Classes with closest relation at Level 2


Rank Class id link
1 2283 MECHANISM AND MACHINE THEORY//TENSEGRITY//FORM FINDING
2 2047 NIELSEN NUMBER//MATHEMATICS//TEICHMULLER SPACE
3 3515 INFINITE GRAPHS//GROMOV HYPERBOLICITY//INFINITE MATROID
4 1839 PROCESS PLANNING//FEATURE RECOGNITION//ENGINEERING, MANUFACTURING
5 1441 GRAPH DRAWING//DISCRETE & COMPUTATIONAL GEOMETRY//CROSSING NUMBER
6 841 COMPUTATIONAL GEOMETRY//COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS//COMPUTER SCIENCE, THEORY & METHODS
7 589 COMPUTER GRAPHICS FORUM//ACM TRANSACTIONS ON GRAPHICS//COMPUTER SCIENCE, SOFTWARE ENGINEERING
8 3751 MPEG 21//CONTENT ADAPTATION//MPEG V
9 2478 CONVEX BODY//STAR BODY//INTERSECTION BODY
10 3138 ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES//ACTA CRYSTALLOGRAPHICA SECTION A//MATH INVEST CRYSTALLOG MINERAL PETROG

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