Class information for:
Level 1: POLYOMINO TILINGS//LATTICE PERIODIC TILINGS//TILE INVARIANTS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
29359 188 13.2 33%


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
9 4 COMPUTER SCIENCE, THEORY & METHODS//COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE//COMPUTER SCIENCE, INFORMATION SYSTEMS 1247339
264 3       COMPUTER SCIENCE, HARDWARE & ARCHITECTURE//IEEE TRANSACTIONS ON COMPUTER-AIDED DESIGN OF INTEGRATED CIRCUITS AND SYSTEMS//ENGINEERING, ELECTRICAL & ELECTRONIC 44494
3066 2             DISCRETE TOMOGRAPHY//DISCRETE COSINE TRANSFORM//FAST FOURIER TRANSFORM FFT 2425
29359 1                   POLYOMINO TILINGS//LATTICE PERIODIC TILINGS//TILE INVARIANTS 188

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 POLYOMINO TILINGS authKW 649690 2% 100% 4
2 LATTICE PERIODIC TILINGS authKW 487268 2% 100% 3
3 TILE INVARIANTS authKW 487268 2% 100% 3
4 TILINGS BY TRANSLATION authKW 487268 2% 100% 3
5 TILINGS OF R 3 authKW 487268 2% 100% 3
6 IUT ROANNE address 397926 4% 35% 7
7 DISCRETE REGIONS authKW 365449 2% 75% 3
8 2 X 1 SQUARED RECTANGLES authKW 324845 1% 100% 2
9 C NET authKW 324845 1% 100% 2
10 CNRSINRIAENS address 324845 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 4030 63% 0% 118
2 Computer Science, Theory & Methods 1723 27% 0% 50
3 Mathematics, Applied 287 16% 0% 31
4 Computer Science, Artificial Intelligence 18 3% 0% 6
5 Computer Science, Software Engineering 4 2% 0% 3
6 Multidisciplinary Sciences 4 1% 0% 2
7 Computer Science, Information Systems 3 2% 0% 3
8 Physics, Mathematical 2 2% 0% 3
9 Imaging Science & Photographic Technology 1 1% 0% 1
10 Social Sciences, Interdisciplinary 0 1% 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 IUT ROANNE 397926 4% 35% 7
2 CNRSINRIAENS 324845 1% 100% 2
3 GRP RECH INFORMAT MATH PL 292358 2% 60% 3
4 GRP RECH INFORMAT MATH PLIQUEES 216562 1% 67% 2
5 COMBINATOIRE INFORMAT MATH 215089 4% 19% 7
6 CASE 7014UMR 7089 162423 1% 100% 1
7 CNRSLIPUMR 5668 162423 1% 100% 1
8 FONDEMENTS PLICAT UMR 7089 162423 1% 100% 1
9 GRP RECH INFORMAT MATHEMAT PL 162423 1% 100% 1
10 INFORMAT ALGORITHMCASE 7014 162423 1% 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 COMBINATORIAL THEORY SERIES A 23975 12% 1% 22
2 DISCRETE MATHEMATICS 10890 15% 0% 28
3 THEORETICAL COMPUTER SCIENCE 10241 14% 0% 26
4 DISCRETE & COMPUTATIONAL GEOMETRY 7872 5% 0% 10
5 RUSSIAN MATHEMATICAL SURVEYS 4222 4% 0% 8
6 AMERICAN MATHEMATICAL MONTHLY 3838 4% 0% 8
7 JOURNAL OF COMBINATORIAL THEORY SERIES B 1779 3% 0% 5
8 RAIRO-THEORETICAL INFORMATICS AND APPLICATIONS 1620 1% 1% 2
9 EUROPEAN JOURNAL OF COMBINATORICS 1315 3% 0% 5
10 MATHEMATICAL NOTES 1165 3% 0% 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 POLYOMINO TILINGS 649690 2% 100% 4 Search POLYOMINO+TILINGS Search POLYOMINO+TILINGS
2 LATTICE PERIODIC TILINGS 487268 2% 100% 3 Search LATTICE+PERIODIC+TILINGS Search LATTICE+PERIODIC+TILINGS
3 TILE INVARIANTS 487268 2% 100% 3 Search TILE+INVARIANTS Search TILE+INVARIANTS
4 TILINGS BY TRANSLATION 487268 2% 100% 3 Search TILINGS+BY+TRANSLATION Search TILINGS+BY+TRANSLATION
5 TILINGS OF R 3 487268 2% 100% 3 Search TILINGS+OF+R+3 Search TILINGS+OF+R+3
6 DISCRETE REGIONS 365449 2% 75% 3 Search DISCRETE+REGIONS Search DISCRETE+REGIONS
7 2 X 1 SQUARED RECTANGLES 324845 1% 100% 2 Search 2+X+1+SQUARED+RECTANGLES Search 2+X+1+SQUARED+RECTANGLES
8 C NET 324845 1% 100% 2 Search C+NET Search C+NET
9 LOCAL FLIP 324845 1% 100% 2 Search LOCAL+FLIP Search LOCAL+FLIP
10 SALIENT AND REENTRANT POINTS 324845 1% 100% 2 Search SALIENT+AND+REENTRANT+POINTS Search SALIENT+AND+REENTRANT+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 PAK, I , YANG, J , (2013) TILING SIMPLY CONNECTED REGIONS WITH RECTANGLES.JOURNAL OF COMBINATORIAL THEORY SERIES A. VOL. 120. ISSUE 7. P. 1804 -1816 16 89% 0
2 PAK, I , SHEFFER, A , TASSY, M , (2016) FAST DOMINO TILEABILITY.DISCRETE & COMPUTATIONAL GEOMETRY. VOL. 56. ISSUE 2. P. 377 -394 14 74% 0
3 REID, M , (2005) KLAMER SYSTEMS AND TILING BOXES WITH POLYOMINOES.JOURNAL OF COMBINATORIAL THEORY SERIES A. VOL. 111. ISSUE 1. P. 89-105 10 100% 4
4 YANG, J , (2014) RECTANGULAR TILEABILITY AND COMPLEMENTARY TILEABILITY ARE UNDECIDABLE.EUROPEAN JOURNAL OF COMBINATORICS. VOL. 41. ISSUE . P. 20 -34 12 67% 0
5 REID, M , (2008) ASYMPTOTICALLY OPTIMAL BOX PACKING THEOREMS.ELECTRONIC JOURNAL OF COMBINATORICS. VOL. 15. ISSUE 1. P. - 9 100% 1
6 BODINI, O , LEFRANC, S , (2006) HOW TO TILE BY DOMINOES THE BOUNDARY OF A POLYCUBE.DISCRETE GEOMETRY FOR COMPUTER IMAGERY, PROCEEDINGS. VOL. 4245. ISSUE . P. 630-638 13 68% 0
7 MASSE, AB , GARON, A , LABBE, S , (2013) COMBINATORIAL PROPERTIES OF DOUBLE SQUARE TILES.THEORETICAL COMPUTER SCIENCE. VOL. 502. ISSUE . P. 98-117 8 89% 5
8 REMILA, E , (2004) TILING A POLYGON WITH TWO KINDS OF RECTANGLES.ALGORITHMS ESA 2004, PROCEEDINGS. VOL. 3221. ISSUE . P. 568 -579 10 91% 0
9 MASSE, AB , BRLEK, S , LABBE, S , (2012) A PARALLELOGRAM TILE FILLS THE PLANE BY TRANSLATION IN AT MOST TWO DISTINCT WAYS.DISCRETE APPLIED MATHEMATICS. VOL. 160. ISSUE 7-8. P. 1011-1018 6 100% 1
10 REMILA, E , (2005) TILING A POLYGON WITH TWO KINDS OF RECTANGLES.DISCRETE & COMPUTATIONAL GEOMETRY. VOL. 34. ISSUE 2. P. 313 -330 8 89% 5

Classes with closest relation at Level 1


Rank Class id link
1 29467 CYCLIC POLYGON//EQUIDISSECTION//MECHANICAL LINKAGE
2 19758 DISCRETE TOMOGRAPHY//BINARY TOMOGRAPHY//CONVEX POLYOMINOES
3 28629 MATH INVEST CRYSTALLOG MINERAL PETROG//PLATINUM GRP ELEMENTS ORE GENESIS//PRODUCT OF LINEAR FORMS
4 16175 ALTERNATING SIGN MATRICES//PLANE PARTITIONS//AZTEC DIAMOND
5 24213 CIENCIAS SUPERFICIES MEDIOS POROSOS//MULTISITE OCCUPANCY//EQUILIBRIUM THERMODYNAMICS AND
6 16683 DIGITAL GEOMETRY//MULTIGRID CONVERGENCE//DIGITAL LINE
7 32908 POLYIAMONDS//ISOHEDRAL TILINGS//TWO DIMENSIONAL SYMMETRY GROUPS
8 21484 SELF AFFINE MEASURE//SPECTRAL PAIRS//ORTHOGONAL EXPONENTIALS
9 23309 DIHEDRAL F TILINGS//MINERAL PETROL KRISTALLOG//ISOMETRIC FOLDINGS
10 14311 TILING SPACES//DELONE SETS//MODEL SET

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