Class information for:
Level 1: GROMOV HYPERBOLICITY//INFINITE GRAPHS//TRANSFINITE GRAPHS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
11794 954 19.7 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
3515 2             INFINITE GRAPHS//GROMOV HYPERBOLICITY//INFINITE MATROID 1414
11794 1                   GROMOV HYPERBOLICITY//INFINITE GRAPHS//TRANSFINITE GRAPHS 954

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 GROMOV HYPERBOLICITY authKW 1045517 4% 78% 42
2 INFINITE GRAPHS authKW 235454 3% 22% 33
3 TRANSFINITE GRAPHS authKW 224043 1% 100% 7
4 HOMOGENEOUS TREE authKW 217980 2% 36% 19
5 POISSON BOUNDARY authKW 163895 1% 39% 13
6 RATE OF ESCAPE authKW 152400 1% 48% 10
7 MATH STRUKTURTHEORIE address 139146 1% 43% 10
8 GROMOV HYPERBOLIC GRAPH authKW 128025 0% 100% 4
9 DENJOY DOMAIN authKW 128021 1% 67% 6
10 COMBINATORIAL CURVATURE authKW 114305 1% 71% 5

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 35066 82% 0% 779
2 Mathematics, Applied 1887 19% 0% 177
3 Statistics & Probability 829 8% 0% 73
4 Physics, Mathematical 23 2% 0% 20
5 Computer Science, Theory & Methods 2 1% 0% 11
6 Engineering, Electrical & Electronic 2 4% 0% 37
7 Computer Science, Cybernetics 2 0% 0% 2
8 Education, Scientific Disciplines 0 0% 0% 3
9 Telecommunications 0 1% 0% 7
10 Computer Science, Information Systems -0 1% 0% 6

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 STRUKTURTHEORIE 139146 1% 43% 10
2 MATH S 76808 1% 40% 6
3 MATH STRUKTURTHEORIE MATH C 72736 1% 45% 5
4 UNITE MIXTE RECH CNRS UJF 5582 64008 0% 50% 4
5 ESTADIST INVEST OPERAT 3 61544 1% 38% 5
6 MATH C 48390 1% 14% 11
7 MATH ANGEW GEOMETRIE 36363 1% 23% 5
8 ARITHMET 32006 0% 100% 1
9 DIPARTIMENTO MATEMAT G CASTELNOUVO 32006 0% 100% 1
10 DIPARTIMENTO SCI CHIM MATEMAT FIS 32006 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 POTENTIAL ANALYSIS 10324 2% 2% 18
2 GROUPS GEOMETRY AND DYNAMICS 9709 1% 3% 10
3 BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA 6827 2% 1% 21
4 JOURNAL OF COMBINATORIAL THEORY SERIES B 5600 2% 1% 20
5 COMBINATORICA 4005 1% 1% 13
6 ISRAEL JOURNAL OF MATHEMATICS 3731 2% 1% 21
7 ANNALES DE L INSTITUT FOURIER 3293 2% 1% 15
8 THEORY OF PROBABILITY AND ITS APPLICATIONS 3184 1% 1% 14
9 DISCRETE MATHEMATICS 3113 4% 0% 34
10 JOURNAL OF FUNCTIONAL ANALYSIS 3044 3% 0% 25

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 GROMOV HYPERBOLICITY 1045517 4% 78% 42 Search GROMOV+HYPERBOLICITY Search GROMOV+HYPERBOLICITY
2 INFINITE GRAPHS 235454 3% 22% 33 Search INFINITE+GRAPHS Search INFINITE+GRAPHS
3 TRANSFINITE GRAPHS 224043 1% 100% 7 Search TRANSFINITE+GRAPHS Search TRANSFINITE+GRAPHS
4 HOMOGENEOUS TREE 217980 2% 36% 19 Search HOMOGENEOUS+TREE Search HOMOGENEOUS+TREE
5 POISSON BOUNDARY 163895 1% 39% 13 Search POISSON+BOUNDARY Search POISSON+BOUNDARY
6 RATE OF ESCAPE 152400 1% 48% 10 Search RATE+OF+ESCAPE Search RATE+OF+ESCAPE
7 GROMOV HYPERBOLIC GRAPH 128025 0% 100% 4 Search GROMOV+HYPERBOLIC+GRAPH Search GROMOV+HYPERBOLIC+GRAPH
8 DENJOY DOMAIN 128021 1% 67% 6 Search DENJOY+DOMAIN Search DENJOY+DOMAIN
9 COMBINATORIAL CURVATURE 114305 1% 71% 5 Search COMBINATORIAL+CURVATURE Search COMBINATORIAL+CURVATURE
10 P HARMONIC BOUNDARY 114305 1% 71% 5 Search P+HARMONIC+BOUNDARY Search P+HARMONIC+BOUNDARY

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 BAUER, F , KELLER, M , WOJCIECHOWSKI, RK , (2015) CHEEGER INEQUALITIES FOR UNBOUNDED GRAPH LAPLACIANS.JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. VOL. 17. ISSUE 2. P. 259 -271 28 85% 1
2 RODRIGUEZ, JM , SIGARRETA, JM , TORRES, Y , (2014) COMPUTING THE HYPERBOLICITY CONSTANT OF A CUBIC GRAPH.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS. VOL. 91. ISSUE 9. P. 1897 -1910 25 93% 1
3 PESTANA, D , RODRIGUEZ, JM , SIGARRETA, JM , VILLETA, M , (2012) GROMOV HYPERBOLIC CUBIC GRAPHS.CENTRAL EUROPEAN JOURNAL OF MATHEMATICS. VOL. 10. ISSUE 3. P. 1141-1151 25 96% 2
4 CARBALLOSA, W , RODRIGUEZ, JM , SIGARRETA, JM , (2016) NEW INEQUALITIES ON THE HYPERBOLICITY CONSTANT OF LINE GRAPHS.ARS COMBINATORIA. VOL. 129. ISSUE . P. 367 -386 22 100% 0
5 CANTON, A , GRANADOS, A , PESTANA, D , RODRIGUEZ, JM , (2016) GROMOV HYPERBOLICITY OF PERIODIC GRAPHS.BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY. VOL. 39. ISSUE . P. S89 -S116 20 100% 1
6 HERNANDEZ, V , PESTANA, D , RODRIGUEZ, JM , (2016) BOUNDS ON GROMOV HYPERBOLICITY CONSTANT.REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS. VOL. 110. ISSUE 2. P. 321 -342 24 89% 0
7 HERNANDEZ-GOMEZ, JC , RODRIGUEZ, JM , SIGARRETA, JM , TORRES-NUNEZ, Y , VILLETA, M , (2017) GROMOV HYPERBOLICITY OF REGULAR GRAPHS.ARS COMBINATORIA. VOL. 130. ISSUE . P. 395 -416 22 88% 0
8 RODRIGUEZ, JM , (2014) CHARACTERIZATION OF GROMOV HYPERBOLIC SHORT GRAPHS.ACTA MATHEMATICA SINICA-ENGLISH SERIES. VOL. 30. ISSUE 2. P. 197-212 19 100% 4
9 PORTILLA, A , RODRIGUEZ, JM , TOURIS, E , (2011) A VERY SIMPLE CHARACTERIZATION OF GROMOV HYPERBOLICITY FOR A SPECIAL KIND OF DENJOY DOMAINS.JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY. VOL. 48. ISSUE 3. P. 565 -583 25 83% 0
10 BERMUDO, S , RODRIGUEZ, JM , ROSARIO, O , SIGARRETA, JM , (2016) SMALL VALUES OF THE HYPERBOLICITY CONSTANT IN GRAPHS.DISCRETE MATHEMATICS. VOL. 339. ISSUE 12. P. 3073 -3084 17 100% 1

Classes with closest relation at Level 1


Rank Class id link
1 21095 NPC SPACE//CARTAN HADAMARD MANIFOLD//ADMISSIBLE CONVERGENCE
2 25681 INFINITE GRAPHS//INFINITE MATROID//FREUDENTHAL END
3 25561 MOUFANG SET//CHABAUTY TOPOLOGY//PRO LIE GROUP
4 21009 GRAPH COVERING//IHARA ZETA FUNCTION//RAMANUJAN GRAPH
5 10040 PROPERTY T//DEFORMATION RIGIDITY THEORY//GRAPH GROUPOIDS
6 29481 UNSATURATED NUMERICAL METHOD//DOUBLE DEGENERATION//OPERATOR POTENTIAL
7 5559 RIESZ TRANSFORM//SPECTRAL MULTIPLIERS//HARDY SPACE
8 34111 END SPACE//DISTANCE TO THE INTERSECTION//PQ SYMMETRIC
9 19236 SIERPINSKI GASKET//ANALYSIS ON FRACTALS//DIRICHLET FORM
10 20314 CIRCLE PATTERN//FLEXIBLE POLYHEDRON//ACUTE TRIANGULATIONS

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