Class information for:
Level 1: STEINHAUS GRAPH//DUCCI SEQUENCES//STEINHAUS TRIANGLE

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
36243 83 13.3 29%



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
181 3       DISCRETE MATHEMATICS//JOURNAL OF GRAPH THEORY//MATHEMATICS 56539
2841 2             DOMINATION//TOTAL DOMINATION//DOMINATION NUMBER 2963
36243 1                   STEINHAUS GRAPH//DUCCI SEQUENCES//STEINHAUS TRIANGLE 83

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 STEINHAUS GRAPH authKW 1839498 6% 100% 5
2 DUCCI SEQUENCES authKW 1471598 5% 100% 4
3 STEINHAUS TRIANGLE authKW 1103699 4% 100% 3
4 DUCCI GAME authKW 735799 2% 100% 2
5 DUCCI MAP authKW 735799 2% 100% 2
6 GENERATING STRING authKW 735799 2% 100% 2
7 3 REGULAR TREE authKW 367900 1% 100% 1
8 ADDITIVE CELLULAR AUTOMATON authKW 367900 1% 100% 1
9 ADDITIVE FUNCTIONS ON TRANSLATION QUIVERS authKW 367900 1% 100% 1
10 ALGEBRAIC IRRATIONAL NUMBERS authKW 367900 1% 100% 1

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 3550 88% 0% 73
2 Mathematics, Applied 113 16% 0% 13
3 Computer Science, Software Engineering 1 1% 0% 1
4 Computer Science, Information Systems 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 FR 2956 28296 2% 4% 2
2 CRMA 26277 1% 7% 1
3 MATH PU PL JOSEPH LIOUVILLE 16721 1% 5% 1
4 LMPA 10007 2% 1% 2
5 MATH MODELISAT MONTPELLIER 1742 1% 0% 1
6 SIMION STOILOW MATH 1284 1% 0% 1
7 MATH SCI 276 10% 0% 8
8 MATH COMP SCI 157 5% 0% 4
9 MATH 153 17% 0% 14
10 FAK MATH 91 1% 0% 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 FIBONACCI QUARTERLY 82440 19% 1% 16
2 DISCRETE MATHEMATICS 10210 22% 0% 18
3 JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS 8483 7% 0% 6
4 GRAPHS AND COMBINATORICS 3029 5% 0% 4
5 AMERICAN MATHEMATICAL MONTHLY 1222 4% 0% 3
6 BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE 1127 1% 0% 1
7 EUROPEAN JOURNAL OF COMBINATORICS 1074 4% 0% 3
8 QUARTERLY JOURNAL OF MATHEMATICS 1021 2% 0% 2
9 JOURNAL OF COMBINATORIAL THEORY SERIES A 1006 4% 0% 3
10 MATHEMATICAL INTELLIGENCER 609 1% 0% 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 STEINHAUS GRAPH 1839498 6% 100% 5 Search STEINHAUS+GRAPH Search STEINHAUS+GRAPH
2 DUCCI SEQUENCES 1471598 5% 100% 4 Search DUCCI+SEQUENCES Search DUCCI+SEQUENCES
3 STEINHAUS TRIANGLE 1103699 4% 100% 3 Search STEINHAUS+TRIANGLE Search STEINHAUS+TRIANGLE
4 DUCCI GAME 735799 2% 100% 2 Search DUCCI+GAME Search DUCCI+GAME
5 DUCCI MAP 735799 2% 100% 2 Search DUCCI+MAP Search DUCCI+MAP
6 GENERATING STRING 735799 2% 100% 2 Search GENERATING+STRING Search GENERATING+STRING
7 3 REGULAR TREE 367900 1% 100% 1 Search 3+REGULAR+TREE Search 3+REGULAR+TREE
8 ADDITIVE CELLULAR AUTOMATON 367900 1% 100% 1 Search ADDITIVE+CELLULAR+AUTOMATON Search ADDITIVE+CELLULAR+AUTOMATON
9 ADDITIVE FUNCTIONS ON TRANSLATION QUIVERS 367900 1% 100% 1 Search ADDITIVE+FUNCTIONS+ON+TRANSLATION+QUIVERS Search ADDITIVE+FUNCTIONS+ON+TRANSLATION+QUIVERS
10 ALGEBRAIC IRRATIONAL NUMBERS 367900 1% 100% 1 Search ALGEBRAIC+IRRATIONAL+NUMBERS Search ALGEBRAIC+IRRATIONAL+NUMBERS

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 BROCKMAN, G , ZERR, RJ , (2007) ASYMPTOTIC BEHAVIOR OF CERTAIN DUCCI SEQUENCES.FIBONACCI QUARTERLY. VOL. 45. ISSUE 2. P. 155 -163 23 100% 2
2 COBELI, C , ZAHARESCU, A , (2014) A GAME WITH DIVISORS AND ABSOLUTE DIFFERENCES OF EXPONENTS.JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS. VOL. 20. ISSUE 11. P. 1489 -1501 12 86% 0
3 CHAMBERLAND, M , (2003) UNBOUNDED DUCCI SEQUENCES.JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS. VOL. 9. ISSUE 10. P. 887-895 12 100% 7
4 COBELI, C , ZAHARESCU, A , (2013) PROMENADE AROUND PASCAL TRIANGLE - NUMBER MOTIVES.BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE. VOL. 56. ISSUE 1. P. 73-98 19 41% 0
5 BREUER, F , (2010) DUCCI SEQUENCES AND CYCLOTOMIC FIELDS.JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS. VOL. 16. ISSUE 7. P. 847-862 11 73% 2
6 CALKIN, NJ , STEVENS, JG , THOMAS, DM , (2005) A CHARACTERIZATION FOR THE LENGTH OF CYCLES OF THE N-NUMBER DUCCI GAME.FIBONACCI QUARTERLY. VOL. 43. ISSUE 1. P. 53-59 10 91% 7
7 HIDA, T , (2016) DUCCI SEQUENCES OF TRIPLES AND CONTINUED FRACTIONS.JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS. VOL. 22. ISSUE 3. P. 411 -427 7 100% 0
8 CHAPPELON, J , (2015) BALANCED SIMPLICES.ADVANCES IN APPLIED MATHEMATICS. VOL. 62. ISSUE . P. 74 -117 7 88% 0
9 CHAMBERLAND, M , THOMAS, DM , (2004) THE N-NUMBER DUCCI GAME.JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS. VOL. 10. ISSUE 3. P. 339-342 7 100% 7
10 HOGENSON, K , NEGAARD, S , ZERR, RJ , (2012) MATRIX SEQUENCES ASSOCIATED WITH THE DUCCI MAP AND THE MEDIANT CONSTRUCTION OF THE RATIONALS.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 437. ISSUE 1. P. 285-293 5 100% 1

Classes with closest relation at Level 1



Rank Class id link
1 18935 COMBINATORIAL GAMES//IMPARTIAL GAME//SPRAGUE GRUNDY FUNCTION
2 29388 MAGIC SQUARES//MAGIC RECTANGLE//SUDOKU
3 5293 JOURNAL OF CELLULAR AUTOMATA//CELLULAR AUTOMATA//ELEMENTARY CELLULAR AUTOMATA
4 15018 GRACEFUL GRAPH//GRACEFUL LABELING//INTEGRAL SUM GRAPH
5 23117 IRREGULARITY STRENGTH//TOTAL VERTEX IRREGULARITY STRENGTH//COMBINATORIAL NULLSTELLENSATZ
6 19236 SIERPINSKI GASKET//ANALYSIS ON FRACTALS//DIRICHLET FORM
7 19064 CIRCULAR CHROMATIC NUMBER//CIRCULAR COLORING//PACKING CHROMATIC NUMBER
8 3470 JOURNAL OF COMBINATORIAL DESIGNS//GROUP DIVISIBLE DESIGN//G DESIGN
9 30095 3X1 PROBLEM//COLLATZ PROBLEM//3X1 CONJECTURE
10 14579 SUPERCONGRUENCES//GAUSSIAN HYPERGEOMETRIC SERIES//BINOMIAL COEFFICIENTS

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