Class information for:
Level 1: GEOMETRIC CONSTRAINT SOLVING//EUCLIDEAN DISTANCE MATRICES//EUCLIDEAN DISTANCE MATRIX

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
16114 672 25.5 38%


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

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 1178134 5% 79% 33
2 EUCLIDEAN DISTANCE MATRICES authKW 801523 3% 84% 21
3 EUCLIDEAN DISTANCE MATRIX authKW 623132 4% 57% 24
4 INFINITESIMAL RIGIDITY authKW 613407 3% 75% 18
5 BAR AND JOINT FRAMEWORKS authKW 503314 2% 92% 12
6 GENERIC RIGIDITY authKW 467361 2% 86% 12
7 RIGIDITY MATROID authKW 458167 2% 92% 11
8 UNIVERSAL RIGIDITY authKW 454382 1% 100% 10
9 COMBINATORIAL RIGIDITY authKW 451703 2% 76% 13
10 GLOBAL RIGIDITY authKW 387202 2% 61% 14

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, Applied 5066 35% 0% 234
2 Computer Science, Software Engineering 3690 17% 0% 117
3 Mathematics 3201 31% 0% 205
4 Computer Science, Theory & Methods 2337 17% 0% 112
5 Operations Research & Management Science 621 7% 0% 49
6 Computer Science, Artificial Intelligence 319 6% 0% 42
7 Robotics 276 2% 0% 13
8 Computer Science, Interdisciplinary Applications 195 5% 0% 35
9 Engineering, Manufacturing 114 3% 0% 17
10 Computer Science, Information Systems 71 3% 0% 22

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 318068 1% 100% 7
2 D CUBED 272629 1% 100% 6
3 PL MATH IMECC UNICAMP 272629 1% 100% 6
4 COPRIN PROJECT 181753 1% 100% 4
5 MOVI PROJECT 90876 0% 100% 2
6 ACT NORON 45438 0% 100% 1
7 C TJ AN SCI TECHNOL AGCY JST 45438 0% 100% 1
8 CNRS UP A 60 85 45438 0% 100% 1
9 CNRSURA 1378 45438 0% 100% 1
10 CORPIN TEAM 45438 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 COMPUTER-AIDED DESIGN 50702 9% 2% 58
2 DISCRETE & COMPUTATIONAL GEOMETRY 33505 6% 2% 39
3 INTERNATIONAL JOURNAL OF COMPUTATIONAL GEOMETRY & APPLICATIONS 20911 3% 3% 17
4 SIAM JOURNAL ON DISCRETE MATHEMATICS 7170 3% 1% 18
5 LINEAR ALGEBRA AND ITS APPLICATIONS 6927 6% 0% 42
6 CONTRIBUTIONS TO DISCRETE MATHEMATICS 5375 0% 4% 3
7 JOURNAL OF SYMBOLIC COMPUTATION 3927 2% 1% 14
8 JOURNAL OF COMBINATORIAL THEORY SERIES B 3896 2% 1% 14
9 SIAM JOURNAL ON OPTIMIZATION 3627 2% 1% 12
10 JOURNAL OF COMPUTING AND INFORMATION SCIENCE IN ENGINEERING 3029 1% 1% 6

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 1178134 5% 79% 33 Search GEOMETRIC+CONSTRAINT+SOLVING Search GEOMETRIC+CONSTRAINT+SOLVING
2 EUCLIDEAN DISTANCE MATRICES 801523 3% 84% 21 Search EUCLIDEAN+DISTANCE+MATRICES Search EUCLIDEAN+DISTANCE+MATRICES
3 EUCLIDEAN DISTANCE MATRIX 623132 4% 57% 24 Search EUCLIDEAN+DISTANCE+MATRIX Search EUCLIDEAN+DISTANCE+MATRIX
4 INFINITESIMAL RIGIDITY 613407 3% 75% 18 Search INFINITESIMAL+RIGIDITY Search INFINITESIMAL+RIGIDITY
5 BAR AND JOINT FRAMEWORKS 503314 2% 92% 12 Search BAR+AND+JOINT+FRAMEWORKS Search BAR+AND+JOINT+FRAMEWORKS
6 GENERIC RIGIDITY 467361 2% 86% 12 Search GENERIC+RIGIDITY Search GENERIC+RIGIDITY
7 RIGIDITY MATROID 458167 2% 92% 11 Search RIGIDITY+MATROID Search RIGIDITY+MATROID
8 UNIVERSAL RIGIDITY 454382 1% 100% 10 Search UNIVERSAL+RIGIDITY Search UNIVERSAL+RIGIDITY
9 COMBINATORIAL RIGIDITY 451703 2% 76% 13 Search COMBINATORIAL+RIGIDITY Search COMBINATORIAL+RIGIDITY
10 GLOBAL RIGIDITY 387202 2% 61% 14 Search GLOBAL+RIGIDITY Search GLOBAL+RIGIDITY

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 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
5 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
6 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
7 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
8 NIXON, A , SCHULZE, B , (2016) SYMMETRY-FORCED RIGIDITY OF FRAMEWORKS ON SURFACES.GEOMETRIAE DEDICATA. VOL. 182. ISSUE 1. P. 163 -201 18 86% 0
9 JORDAN, T , KIRALY, C , TANIGAWA, S , (2016) GENERIC GLOBAL RIGIDITY OF BODY-HINGE FRAMEWORKS.JOURNAL OF COMBINATORIAL THEORY SERIES B. VOL. 117. ISSUE . P. 59 -76 16 94% 0
10 GAO, XS , LIN, Q , ZHANG, GF , (2006) A C-TREE DECOMPOSITION ALGORITHM FOR 2D AND 3D GEOMETRIC CONSTRAINT SOLVING.COMPUTER-AIDED DESIGN. VOL. 38. ISSUE 1. P. 1 -13 20 91% 24

Classes with closest relation at Level 1


Rank Class id link
1 30359 LOCAL PROPAGATION//AUTOMATIC TABLE LAYOUT//CONSTRAINT EXPERIENCE
2 29467 CYCLIC POLYGON//EQUIDISSECTION//MECHANICAL LINKAGE
3 21244 SOLID RECONSTRUCTION//ORTHOGRAPHIC VIEWS//LINE DRAWING LABELLING
4 11522 TENSEGRITY//FORM FINDING//TENSEGRITY STRUCTURES
5 24381 OVERCONSTRAINED LINKAGES//LINKAGE MOBILITY//BENNETT LINKAGE
6 26653 SUPERSYMMETRIC ALGEBRA//GELFAND MODEL//ABSOLUTE INVOLUTIONS
7 14302 BASE POLYHEDRON//VALUATED MATROID//SUBMODULAR FUNCTION
8 34796 HEAT SEALING//PARALLEL FOLDING//FRINGE CURVE
9 20314 CIRCLE PATTERN//FLEXIBLE POLYHEDRON//ACUTE TRIANGULATIONS
10 528 INDOOR LOCALIZATION//TIME OF ARRIVAL TOA//RECEIVED SIGNAL STRENGTH

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