Class information for:
Level 1: EHRHART POLYNOMIAL//DELTA VECTOR//LATTICE POLYTOPES

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
22474 380 16.1 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
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
688 3       CONVEX BODY//STEREOLOGY//STAR BODY 8168
2478 2             CONVEX BODY//STAR BODY//INTERSECTION BODY 3957
22474 1                   EHRHART POLYNOMIAL//DELTA VECTOR//LATTICE POLYTOPES 380

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 EHRHART POLYNOMIAL authKW 508892 5% 33% 19
2 DELTA VECTOR authKW 361596 2% 75% 6
3 LATTICE POLYTOPES authKW 303830 3% 34% 11
4 AXIAL DIAMETER authKW 241066 1% 100% 3
5 BOUNDARY CHARACTERISTIC authKW 241066 1% 100% 3
6 INTEGRAL CONVEX POLYTOPE authKW 241066 1% 100% 3
7 N DIMENSIONAL SIMPLEX authKW 241066 1% 100% 3
8 SUCCESSIVE INNER AND OUTER RADII authKW 241066 1% 100% 3
9 LATTICE POLYTOPE authKW 232445 2% 32% 9
10 LATTICE POLYHEDRON authKW 214278 1% 67% 4

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 14970 84% 0% 321
2 Computer Science, Theory & Methods 1351 17% 0% 64
3 Mathematics, Applied 1211 23% 0% 88
4 Operations Research & Management Science 120 4% 0% 17
5 Computer Science, Software Engineering 51 3% 0% 12
6 Physics, Mathematical 2 1% 0% 5
7 Computer Science, Information Systems 1 1% 0% 4
8 Information Science & Library Science 0 0% 0% 1
9 Statistics & Probability -0 1% 0% 2
10 Computer Science, Hardware & Architecture -0 0% 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 GRP LATTICE POLYTOPES 144637 1% 60% 3
2 AFDELING SCD COSIC 80355 0% 100% 1
3 COMBINATORIAL OPTIMIZAT 80355 0% 100% 1
4 HBEREICH MATH IMO 80355 0% 100% 1
5 HBEREICH MATH MA 7 1 80355 0% 100% 1
6 MCIS 36155 1% 15% 3
7 UNITE RECH SOPHIA ANTIPOLIS 29217 1% 18% 2
8 ARBEITSGRP GITTERPOLYTOPE 26784 0% 33% 1
9 ZENTRUM MATH 18451 3% 2% 13
10 MATH MA 8 1 16069 0% 20% 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 105477 14% 3% 52
2 MATHEMATIKA 37077 5% 2% 20
3 MONATSHEFTE FUR MATHEMATIK 12804 5% 1% 19
4 BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY 6976 4% 1% 17
5 ADVANCES IN GEOMETRY 6682 2% 1% 7
6 AMERICAN MATHEMATICAL MONTHLY 6674 4% 1% 15
7 GEOMETRIAE DEDICATA 5250 4% 0% 14
8 JOURNAL OF COMBINATORIAL THEORY SERIES A 2949 3% 0% 11
9 ANNALS OF COMBINATORICS 2934 1% 1% 4
10 ELECTRONIC JOURNAL OF COMBINATORICS 2053 2% 0% 8

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 EHRHART POLYNOMIAL 508892 5% 33% 19 Search EHRHART+POLYNOMIAL Search EHRHART+POLYNOMIAL
2 DELTA VECTOR 361596 2% 75% 6 Search DELTA+VECTOR Search DELTA+VECTOR
3 LATTICE POLYTOPES 303830 3% 34% 11 Search LATTICE+POLYTOPES Search LATTICE+POLYTOPES
4 AXIAL DIAMETER 241066 1% 100% 3 Search AXIAL+DIAMETER Search AXIAL+DIAMETER
5 BOUNDARY CHARACTERISTIC 241066 1% 100% 3 Search BOUNDARY+CHARACTERISTIC Search BOUNDARY+CHARACTERISTIC
6 INTEGRAL CONVEX POLYTOPE 241066 1% 100% 3 Search INTEGRAL+CONVEX+POLYTOPE Search INTEGRAL+CONVEX+POLYTOPE
7 N DIMENSIONAL SIMPLEX 241066 1% 100% 3 Search N+DIMENSIONAL+SIMPLEX Search N+DIMENSIONAL+SIMPLEX
8 SUCCESSIVE INNER AND OUTER RADII 241066 1% 100% 3 Search SUCCESSIVE+INNER+AND+OUTER+RADII Search SUCCESSIVE+INNER+AND+OUTER+RADII
9 LATTICE POLYTOPE 232445 2% 32% 9 Search LATTICE+POLYTOPE Search LATTICE+POLYTOPE
10 LATTICE POLYHEDRON 214278 1% 67% 4 Search LATTICE+POLYHEDRON Search LATTICE+POLYHEDRON

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 GONZALEZ, B , CIFRE, MAH , HINRICHS, A , (2015) SUCCESSIVE RADII OF FAMILIES OF CONVEX BODIES.BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY. VOL. 91. ISSUE 2. P. 331 -344 12 100% 0
2 BRANDENBERG, R , KONIG, S , (2015) SHARPENING GEOMETRIC INEQUALITIES USING COMPUTABLE SYMMETRY MEASURES.MATHEMATIKA. VOL. 61. ISSUE 3. P. 559 -580 16 73% 0
3 GONZALEZ, B , CIFRE, MAH , (2012) SUCCESSIVE RADII AND MINKOWSKI ADDITION.MONATSHEFTE FUR MATHEMATIK. VOL. 166. ISSUE 3-4. P. 395 -409 11 100% 4
4 NILL, B , ZIEGLER, GM , (2011) PROJECTING LATTICE POLYTOPES WITHOUT INTERIOR LATTICE POINTS.MATHEMATICS OF OPERATIONS RESEARCH. VOL. 36. ISSUE 3. P. 462 -467 11 100% 7
5 BRAUN, B , DAVIS, R , (2016) EHRHART SERIES, UNIMODALITY, AND INTEGRALLY CLOSED REFLEXIVE POLYTOPES.ANNALS OF COMBINATORICS. VOL. 20. ISSUE 4. P. 705 -717 14 70% 0
6 STAPLEDON, A , (2016) ADDITIVE NUMBER THEORY AND INEQUALITIES IN EHRHART THEORY.INTERNATIONAL MATHEMATICS RESEARCH NOTICES. VOL. . ISSUE 5. P. 1497 -1540 9 100% 0
7 AVERKOV, G , KRUMPELMANN, J , NILL, B , (2015) LARGEST INTEGRAL SIMPLICES WITH ONE INTERIOR INTEGRAL POINT: SOLUTION OF HENSLEY'S CONJECTURE AND RELATED RESULTS.ADVANCES IN MATHEMATICS. VOL. 274. ISSUE . P. 118 -166 11 73% 4
8 MERINO, BG , (2013) ON THE RATIO BETWEEN SUCCESSIVE RADII OF A SYMMETRIC CONVEX BODY.MATHEMATICAL INEQUALITIES & APPLICATIONS. VOL. 16. ISSUE 2. P. 569-576 9 100% 1
9 BRANDENBERG, R , DATTASHARMA, A , GRITZMANN, P , LARMAN, D , (2004) ISORADIAL BODIES.DISCRETE & COMPUTATIONAL GEOMETRY. VOL. 32. ISSUE 4. P. 447 -457 12 92% 4
10 STAPLEDON, A , (2009) INEQUALITIES AND EHRHART DELTA-VECTORS.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 361. ISSUE 10. P. 5615-5626 10 91% 11

Classes with closest relation at Level 1


Rank Class id link
1 22598 DEDEKIND SUMS//SUBDIVISION ALGEBRA//EHRHART POLYNOMIAL
2 28629 MATH INVEST CRYSTALLOG MINERAL PETROG//PLATINUM GRP ELEMENTS ORE GENESIS//PRODUCT OF LINEAR FORMS
3 19754 REDUCED BODY//CONSTANT WIDTH//BIRKHOFF ORTHOGONALITY
4 23074 EDGEWORTH PARETO HULL//RANDOM POLYTOPES//SYLVESTERS PROBLEM
5 9189 MONOMIAL IDEALS//EDGE IDEAL//STANLEY DEPTH
6 28464 SEARCH DESIGNS//SEARCH LINEAR MODEL//WEIGHING DESIGN
7 31517 GENERALIZED ROUNDNESS//QUASIHYPERMETRIC SPACE//SIGNED MEASURE OF MASS ZERO
8 4326 CONVEX BODY//STAR BODY//INTERSECTION BODY
9 31587 NEAR AUTOMORPHISM//SORTABILITY//CHESSBOARD PEBBLING
10 14133 CD INDEX//EULERIAN POSET//FLAG F VECTOR

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