Class information for:
Level 1: COVERING SYSTEMS//ITERATION DIGRAPH//SUMS OF PRIME POWERS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
24944 296 12.6 30%


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
205 3       MATHEMATICS//JOURNAL OF NUMBER THEORY//ACTA ARITHMETICA 52461
1206 2             ACTA ARITHMETICA//JOURNAL OF NUMBER THEORY//MATHEMATICS 9179
24944 1                   COVERING SYSTEMS//ITERATION DIGRAPH//SUMS OF PRIME POWERS 296

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 COVERING SYSTEMS authKW 1104177 6% 63% 17
2 ITERATION DIGRAPH authKW 928436 3% 100% 9
3 SUMS OF PRIME POWERS authKW 618957 2% 100% 6
4 COVERING CONGRUENCES authKW 530533 2% 86% 6
5 ODD NUMBERS authKW 515798 2% 100% 5
6 SIERPINSKI NUMBER authKW 515798 2% 100% 5
7 CARMICHAEL LAMBDA FUNCTION authKW 368424 2% 71% 5
8 CUBIC MAPPING GRAPH authKW 309479 1% 100% 3
9 RIESEL NUMBER authKW 309479 1% 100% 3
10 SELBERGS SIEVE METHOD authKW 309479 1% 100% 3

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 9143 75% 0% 222
2 Mathematics, Applied 1453 28% 0% 84
3 Computer Science, Theory & Methods 36 4% 0% 11
4 Computer Science, Information Systems 2 1% 0% 4
5 Computer Science, Hardware & Architecture 1 1% 0% 2
6 Computer Science, Artificial Intelligence 1 1% 0% 3
7 Statistics & Probability 0 1% 0% 2
8 Multidisciplinary Sciences 0 0% 0% 1
9 Physics, Mathematical -0 1% 0% 2
10 Automation & Control Systems -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 CNR UP A 502B 103160 0% 100% 1
2 ELEC COMP 103160 0% 100% 1
3 FCEYN CS EXACTAS 103160 0% 100% 1
4 GIRARD 103160 0% 100% 1
5 UMR MATH 5208 51579 0% 50% 1
6 IMATE 51577 1% 25% 2
7 TECHNOPOLE NANCY BRABOIS 25788 0% 25% 1
8 GSEAS 20630 0% 20% 1
9 EDUC INFORMAT ASSURANCE SECUR 18753 1% 9% 2
10 MATEMAT INMABB 17192 0% 17% 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 MATHEMATICS OF COMPUTATION 45870 14% 1% 42
2 ACTA ARITHMETICA 30822 10% 1% 31
3 JOURNAL OF NUMBER THEORY 21090 10% 1% 31
4 INTERNATIONAL JOURNAL OF NUMBER THEORY 11123 4% 1% 11
5 FIBONACCI QUARTERLY 9013 3% 1% 10
6 CZECHOSLOVAK MATHEMATICAL JOURNAL 7757 4% 1% 13
7 AMERICAN MATHEMATICAL MONTHLY 7469 5% 1% 14
8 DISCRETE MATHEMATICS 2238 5% 0% 16
9 JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX 1933 1% 1% 2
10 MATHEMATICS MAGAZINE 1635 0% 2% 1

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 COVERING SYSTEMS 1104177 6% 63% 17 Search COVERING+SYSTEMS Search COVERING+SYSTEMS
2 ITERATION DIGRAPH 928436 3% 100% 9 Search ITERATION+DIGRAPH Search ITERATION+DIGRAPH
3 SUMS OF PRIME POWERS 618957 2% 100% 6 Search SUMS+OF+PRIME+POWERS Search SUMS+OF+PRIME+POWERS
4 COVERING CONGRUENCES 530533 2% 86% 6 Search COVERING+CONGRUENCES Search COVERING+CONGRUENCES
5 ODD NUMBERS 515798 2% 100% 5 Search ODD+NUMBERS Search ODD+NUMBERS
6 SIERPINSKI NUMBER 515798 2% 100% 5 Search SIERPINSKI+NUMBER Search SIERPINSKI+NUMBER
7 CARMICHAEL LAMBDA FUNCTION 368424 2% 71% 5 Search CARMICHAEL+LAMBDA+FUNCTION Search CARMICHAEL+LAMBDA+FUNCTION
8 CUBIC MAPPING GRAPH 309479 1% 100% 3 Search CUBIC+MAPPING+GRAPH Search CUBIC+MAPPING+GRAPH
9 RIESEL NUMBER 309479 1% 100% 3 Search RIESEL+NUMBER Search RIESEL+NUMBER
10 SELBERGS SIEVE METHOD 309479 1% 100% 3 Search SELBERGS+SIEVE+METHOD Search SELBERGS+SIEVE+METHOD

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 YANG, QH , CHEN, YG , (2014) ON THE INTEGERS OF THE FORM P PLUS B.TAIWANESE JOURNAL OF MATHEMATICS. VOL. 18. ISSUE 5. P. 1623 -1631 16 100% 0
2 SUN, ZW , (2010) ON M-COVERS AND M-SYSTEMS.BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY. VOL. 81. ISSUE 2. P. 223-235 14 100% 0
3 PAN, H , ZHANG, W , (2011) ON THE INTEGERS OF THE FORM P(2) + B(2)+2(N) AND B(1)(2) + B(2)(2)+2(N2).MATHEMATICS OF COMPUTATION. VOL. 80. ISSUE 275. P. 1849-1864 13 87% 1
4 SUN, XG , (2010) ON THE DENSITY OF INTEGERS OF THE FORM 2 (K) + P IN ARITHMETIC PROGRESSIONS.ACTA MATHEMATICA SINICA-ENGLISH SERIES. VOL. 26. ISSUE 1. P. 155 -160 13 87% 2
5 PAN, H , ZHAO, LL , (2009) CLIQUE NUMBERS OF GRAPHS AND IRREDUCIBLE EXACT M-COVERS OF THE INTEGERS.ADVANCES IN APPLIED MATHEMATICS. VOL. 43. ISSUE 1. P. 24-30 11 100% 1
6 SUN, ZW , (2004) ON THE HERZOG-SCHONHEIM CONJECTURE FOR UNIFORM COVERS OF GROUPS.JOURNAL OF ALGEBRA. VOL. 273. ISSUE 1. P. 153-175 13 93% 5
7 CHEN, YG , FENG, R , TEMPLIER, N , (2008) FERMAT NUMBERS AND INTEGERS OF THE FORM A(K) + A(L) + P(ALPHA).ACTA ARITHMETICA. VOL. 135. ISSUE 1. P. 51-61 13 81% 5
8 WEI, YJ , TANG, GH , (2015) THE ITERATION DIGRAPHS OF FINITE COMMUTATIVE RINGS.TURKISH JOURNAL OF MATHEMATICS. VOL. 39. ISSUE 6. P. 872 -883 9 100% 0
9 KIM, S , (2012) EXACT COVERING SYSTEMS IN QUADRATIC NUMBER FIELDS.QUARTERLY JOURNAL OF MATHEMATICS. VOL. 63. ISSUE 1. P. 165-180 9 100% 1
10 FINCH, C , HARRINGTON, J , JONES, L , (2013) NONLINEAR SIERPINSKI AND RIESEL NUMBERS.JOURNAL OF NUMBER THEORY. VOL. 133. ISSUE 2. P. 534-544 8 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 14037 CARMICHAEL NUMBERS//PRIMALITY TESTING//PSEUDOPRIME
2 17728 ZERO SUM SEQUENCE//DAVENPORT CONSTANT//ZERO SUM PROBLEMS
3 33381 COGALOIS EXTENSION//G COGALOIS EXTENSION//KNESER EXTENSION
4 35204 AKT LOCUS//BIHEXAGONAL LATTICE//BONGARD DIVERGENCE
5 14027 CIRCLE METHOD//WARING GOLDBACH PROBLEM//SIEVE METHODS
6 1500 SCALAR MULTIPLICATION//ELLIPTIC CURVE CRYPTOGRAPHY//ELLIPTIC CURVE CRYPTOSYSTEM
7 32373 DECOMPOSABLE TENSORS//SYMMETRY CLASSES OF TENSORS//RANK PARTITION
8 23999 DIAGONAL EQUATION//EQUATION IN A FINITE FIELD//GAUSS SUM
9 4357 ARITHMETIC DYNAMICS//ANDRE OORT CONJECTURE//ACTA ARITHMETICA
10 32718 LINEAR POLARIZATION CONSTANTS//POLARIZATION CONSTANT//PRODUCT OF LINEAR FUNCTIONALS

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