Class information for:
Level 1: SCRAMBLING INDEX//PRIMITIVE DIGRAPH//M COMPETITION INDEX

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
26727 247 10.2 44%


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
485 3       LINEAR ALGEBRA AND ITS APPLICATIONS//BENFORDS LAW//MATHEMATICS, APPLIED 23484
2286 2             LINEAR ALGEBRA AND ITS APPLICATIONS//MAX ALGEBRA//SIGN PATTERN 4579
26727 1                   SCRAMBLING INDEX//PRIMITIVE DIGRAPH//M COMPETITION INDEX 247

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 SCRAMBLING INDEX authKW 2843371 9% 100% 23
2 PRIMITIVE DIGRAPH authKW 2225235 10% 75% 24
3 M COMPETITION INDEX authKW 1359873 4% 100% 11
4 NON POWERFUL authKW 1236248 4% 100% 10
5 PRIMITIVE MATRIX authKW 1217217 6% 62% 16
6 GENERALIZED COMPETITION INDEX authKW 988999 3% 100% 8
7 SIGNED DIGRAPH authKW 712067 5% 48% 12
8 SIGN PATTERN authKW 681189 9% 24% 23
9 POWERFUL RAY PATTERN authKW 618124 2% 100% 5
10 EXPONENT authKW 504768 9% 19% 21

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 10841 89% 0% 220
2 Mathematics, Applied 5254 57% 0% 142
3 Computer Science, Software Engineering 2 1% 0% 3
4 Computer Science, Hardware & Architecture 2 1% 0% 2
5 Statistics & Probability 2 1% 0% 3
6 Operations Research & Management Science 0 1% 0% 2
7 Computer Science, Theory & Methods 0 1% 0% 2
8 Computer Science, Information Systems -0 0% 0% 1
9 Computer Science, Interdisciplinary Applications -0 0% 0% 1
10 Engineering, Electrical & Electronic -6 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 MATH PHIS 164832 1% 67% 2
2 CNRSI2M 123625 0% 100% 1
3 PLA NANJING 123625 0% 100% 1
4 SONDERFOR UNGSBEREICH 343 123625 0% 100% 1
5 AMSS UTS JOINT QUANTUM COMPUTAT 24723 0% 20% 1
6 UMR IRISA 24723 0% 20% 1
7 MATH EDUC 12859 6% 1% 16
8 RUMENT ELECT 4261 0% 3% 1
9 MATH 3790 46% 0% 114
10 CREAT STUDIES 2686 0% 2% 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 LINEAR ALGEBRA AND ITS APPLICATIONS 132995 45% 1% 111
2 ARS COMBINATORIA 20890 10% 1% 25
3 LINEAR & MULTILINEAR ALGEBRA 13504 5% 1% 12
4 ELECTRONIC JOURNAL OF LINEAR ALGEBRA 8855 3% 1% 7
5 CZECHOSLOVAK MATHEMATICAL JOURNAL 6656 4% 0% 11
6 DISCRETE MATHEMATICS 2055 6% 0% 14
7 JOURNAL OF GRAPH THEORY 1749 2% 0% 6
8 BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY 1639 2% 0% 4
9 TAIWANESE JOURNAL OF MATHEMATICS 1149 2% 0% 4
10 SIAM JOURNAL ON ALGEBRAIC AND DISCRETE METHODS 1107 1% 0% 2

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 SCRAMBLING INDEX 2843371 9% 100% 23 Search SCRAMBLING+INDEX Search SCRAMBLING+INDEX
2 PRIMITIVE DIGRAPH 2225235 10% 75% 24 Search PRIMITIVE+DIGRAPH Search PRIMITIVE+DIGRAPH
3 M COMPETITION INDEX 1359873 4% 100% 11 Search M+COMPETITION+INDEX Search M+COMPETITION+INDEX
4 NON POWERFUL 1236248 4% 100% 10 Search NON+POWERFUL Search NON+POWERFUL
5 PRIMITIVE MATRIX 1217217 6% 62% 16 Search PRIMITIVE+MATRIX Search PRIMITIVE+MATRIX
6 GENERALIZED COMPETITION INDEX 988999 3% 100% 8 Search GENERALIZED+COMPETITION+INDEX Search GENERALIZED+COMPETITION+INDEX
7 SIGNED DIGRAPH 712067 5% 48% 12 Search SIGNED+DIGRAPH Search SIGNED+DIGRAPH
8 SIGN PATTERN 681189 9% 24% 23 Search SIGN+PATTERN Search SIGN+PATTERN
9 POWERFUL RAY PATTERN 618124 2% 100% 5 Search POWERFUL+RAY+PATTERN Search POWERFUL+RAY+PATTERN
10 EXPONENT 504768 9% 19% 21 Search EXPONENT Search EXPONENT

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 YOU, LH , SHEN, J , (2013) A SURVEY ON BASES OF SIGN PATTERN MATRICES.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 439. ISSUE 2. P. 346-357 36 100% 1
2 SHAO, YL , SHEN, J , GAO, YB , (2012) THE KTH UPPER AND LOWER BASES OF PRIMITIVE NONPOWERFUL MINIMALLY STRONG SIGNED DIGRAPHS.LINEAR & MULTILINEAR ALGEBRA. VOL. 60. ISSUE 9. P. 1093-1113 19 100% 0
3 HUANG, YF , LIU, BL , CHEN, SY , (2012) THE GENERALIZED TAU-BASES OF PRIMITIVE NON-POWERFUL SIGNED DIGRAPHS WITH D LOOPS.GRAPHS AND COMBINATORICS. VOL. 28. ISSUE 2. P. 227-242 16 100% 1
4 KIM, HK , (2015) CHARACTERIZATION OF IRREDUCIBLE BOOLEAN MATRICES WITH THE LARGEST GENERALIZED COMPETITION INDEX.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 466. ISSUE . P. 218 -232 15 100% 0
5 KIM, HK , (2013) GENERALIZED COMPETITION INDEX OF AN IRREDUCIBLE BOOLEAN MATRIX.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 438. ISSUE 6. P. 2747-2756 14 100% 0
6 LIU, BL , HUANG, YF , (2010) THE SCRAMBLING INDEX OF PRIMITIVE DIGRAPHS.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 60. ISSUE 3. P. 706-721 14 100% 6
7 FANG, W , GAO, YB , SHAO, YL , GAO, W , JING, GM , LI, ZS , (2016) THE GENERALIZED COMPETITION INDICES OF PRIMITIVE MINIMALLY STRONG DIGRAPHS.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 493. ISSUE . P. 206 -226 12 100% 0
8 LIU, BL , (2003) GENERALIZED EXPONENTS OF BOOLEAN MATRICES.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 373. ISSUE . P. 169-182 16 100% 6
9 HUANG, YF , LIU, BL , (2010) GENERALIZED SCRAMBLING INDICES OF A PRIMITIVE DIGRAPH.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 433. ISSUE 11-12. P. 1798-1808 13 100% 7
10 ZHANG, L , HUANG, TZ , LI, ZS , (2012) PRIMITIVE ZERO-SYMMETRIC SIGN PATTERN MATRICES WITH ZERO DIAGONAL ATTAINING THE MAXIMUM BASE.JOURNAL OF APPLIED MATHEMATICS. VOL. . ISSUE . P. - 12 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 28767 COMPETITION GRAPH//COMPETITION NUMBER//EDGE CLIQUE COVER
2 23771 NONMAXIMAL EIGENVALUES//NONNEGATIVE RANK FACTORIZATION//CONE PRESERVING MAP
3 27052 SIGN PATTERN//POTENTIALLY NILPOTENT//SPECTRALLY ARBITRARY
4 33180 SYNCHRONIZING AUTOMATA//CERNY CONJECTURE//RESET WORD
5 21461 POSITIVE REALIZATION//POSITIVE SYSTEMS//POSITIVE LINEAR SYSTEMS
6 23769 MATCHING COVERED GRAPHS//PFAFFIAN ORIENTATION//RAY NONSINGULAR
7 18298 SINGULARLY PERTURBED MARKOV CHAIN//STOCHASTIC MATRIX//ITERATIVE AGGREGATION DISAGGREGATION METHOD
8 18253 NEVILLE ELIMINATION//TOTALLY POSITIVE MATRICES//TOTALLY POSITIVE MATRIX
9 10319 MAX ALGEBRA//MAX PLUS ALGEBRA//TROPICAL GEOMETRY
10 32171 CIRCLE ORDER//GEOMETRIC CONTAINMENT//SPHERE CONTAINMENT ORDER

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