Class information for:
Level 1: DOMINATION//TOTAL DOMINATION//DOMINATION NUMBER

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
5449 1622 12.5 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
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
5449 1                   DOMINATION//TOTAL DOMINATION//DOMINATION NUMBER 1622

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 DOMINATION authKW 2818608 18% 50% 299
2 TOTAL DOMINATION authKW 2283788 8% 91% 134
3 DOMINATION NUMBER authKW 1829521 9% 63% 154
4 TOTAL DOMINATION NUMBER authKW 1150789 4% 96% 64
5 LEHRSTUHL MATH 2 address 840297 7% 40% 113
6 PAIRED DOMINATION authKW 762364 3% 90% 45
7 ROMAN DOMINATION authKW 715313 2% 100% 38
8 BONDAGE NUMBER authKW 584114 2% 97% 32
9 LAMDA RO address 442661 2% 87% 27
10 K DOMINATION authKW 398313 1% 92% 23

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 34272 62% 0% 1011
2 Mathematics, Applied 12786 36% 0% 577
3 Statistics & Probability 1637 8% 0% 133
4 Computer Science, Interdisciplinary Applications 335 5% 0% 73
5 Computer Science, Theory & Methods 117 3% 0% 49
6 Computer Science, Information Systems 100 3% 0% 43
7 Operations Research & Management Science 96 2% 0% 36
8 Computer Science, Hardware & Architecture 44 1% 0% 20
9 Computer Science, Software Engineering 11 1% 0% 18
10 Logic 2 0% 0% 2

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 LEHRSTUHL MATH 2 840297 7% 40% 113
2 LAMDA RO 442661 2% 87% 27
3 MATH STAT INFORMAT TECHNOL 297058 2% 48% 33
4 ADV DISCRETE MATH N CARDMATH 60227 0% 40% 8
5 SCI MATH PL MATHS 56472 0% 100% 3
6 OPTIMIZAT OPERAT 50599 1% 24% 11
7 URM 8623 42353 0% 75% 3
8 WENTSUN WU 42353 0% 75% 3
9 WENTSUN WU CAS 36194 0% 38% 5
10 COMP SCI PLICAT GRP 32261 0% 29% 6

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 MATHEMATICS 204372 22% 3% 356
2 UTILITAS MATHEMATICA 192681 8% 8% 130
3 ARS COMBINATORIA 174243 11% 5% 185
4 DISCRETE APPLIED MATHEMATICS 107383 12% 3% 193
5 DISCUSSIONES MATHEMATICAE GRAPH THEORY 101994 3% 13% 43
6 JOURNAL OF COMBINATORIAL OPTIMIZATION 73131 4% 6% 70
7 GRAPHS AND COMBINATORICS 65154 5% 4% 82
8 JOURNAL OF GRAPH THEORY 34313 4% 3% 68
9 APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS 11758 1% 5% 13
10 QUAESTIONES MATHEMATICAE 11202 1% 4% 16

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 DOMINATION 2818608 18% 50% 299 Search DOMINATION Search DOMINATION
2 TOTAL DOMINATION 2283788 8% 91% 134 Search TOTAL+DOMINATION Search TOTAL+DOMINATION
3 DOMINATION NUMBER 1829521 9% 63% 154 Search DOMINATION+NUMBER Search DOMINATION+NUMBER
4 TOTAL DOMINATION NUMBER 1150789 4% 96% 64 Search TOTAL+DOMINATION+NUMBER Search TOTAL+DOMINATION+NUMBER
5 PAIRED DOMINATION 762364 3% 90% 45 Search PAIRED+DOMINATION Search PAIRED+DOMINATION
6 ROMAN DOMINATION 715313 2% 100% 38 Search ROMAN+DOMINATION Search ROMAN+DOMINATION
7 BONDAGE NUMBER 584114 2% 97% 32 Search BONDAGE+NUMBER Search BONDAGE+NUMBER
8 K DOMINATION 398313 1% 92% 23 Search K+DOMINATION Search K+DOMINATION
9 ROMAN DOMINATION NUMBER 396121 1% 96% 22 Search ROMAN+DOMINATION+NUMBER Search ROMAN+DOMINATION+NUMBER
10 VIZINGS CONJECTURE 364428 1% 88% 22 Search VIZINGS+CONJECTURE Search VIZINGS+CONJECTURE

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 CHELLALI, M , FAVARON, O , HANSBERG, A , VOLKMANN, L , (2012) K-DOMINATION AND K-INDEPENDENCE IN GRAPHS: A SURVEY.GRAPHS AND COMBINATORICS. VOL. 28. ISSUE 1. P. 1 -55 63 93% 22
2 HENNING, MA , (2009) A SURVEY OF SELECTED RECENT RESULTS ON TOTAL DOMINATION IN GRAPHS.DISCRETE MATHEMATICS. VOL. 309. ISSUE 1. P. 32 -63 71 80% 46
3 DESORMEAUX, WJ , HENNING, MA , (2014) PAIRED DOMINATION IN GRAPHS: A SURVEY AND RECENT RESULTS.UTILITAS MATHEMATICA. VOL. 94. ISSUE . P. 101 -166 53 93% 0
4 CHARTRAND, G , HENNING, MA , ZHANG, P , (2014) A PRINCESS IN THE KINGDOM OF DOMINATION.UTILITAS MATHEMATICA. VOL. 94. ISSUE . P. 5 -18 49 94% 0
5 PAVLIC, P , ZEROVNIK, J , (2012) ROMAN DOMINATION NUMBER OF THE CARTESIAN PRODUCTS OF PATHS AND CYCLES.ELECTRONIC JOURNAL OF COMBINATORICS. VOL. 19. ISSUE 3. P. - 30 94% 0
6 AOUCHICHE, M , HANSEN, P , (2013) A SURVEY OF NORDHAUS-GADDUM TYPE RELATIONS.DISCRETE APPLIED MATHEMATICS. VOL. 161. ISSUE 4-5. P. 466 -546 61 38% 21
7 HU, FT , XU, JM , (2012) BONDAGE NUMBER OF MESH NETWORKS.FRONTIERS OF MATHEMATICS IN CHINA. VOL. 7. ISSUE 5. P. 813 -826 23 100% 3
8 HU, FT , LU, Y , XU, JM , (2012) THE TOTAL BONDAGE NUMBER OF GRID GRAPHS.DISCRETE APPLIED MATHEMATICS. VOL. 160. ISSUE 16-17. P. 2408 -2418 21 100% 3
9 HENNING, MA , MCCOY, J , SOUTHEY, J , (2014) GRAPHS WITH MAXIMUM SIZE AND GIVEN PAIRED-DOMINATION NUMBER.DISCRETE APPLIED MATHEMATICS. VOL. 170. ISSUE . P. 72 -82 20 100% 0
10 BRESAR, B , DORBEC, P , GODDARD, W , HARTNELL, BL , HENNING, MA , KLAVZAR, S , RALL, DF , (2012) VIZING'S CONJECTURE: A SURVEY AND RECENT RESULTS.JOURNAL OF GRAPH THEORY. VOL. 69. ISSUE 1. P. 46-76 21 91% 16

Classes with closest relation at Level 1


Rank Class id link
1 29568 IDENTIFYING CODES//LOCATING DOMINATING CODES//TWIN FREE GRAPHS
2 26919 KONIG EGERVARY GRAPH//MAXIMAL INDEPENDENT SET//WELL COVERED GRAPH
3 2776 PERFECT GRAPHS//INTERVAL GRAPHS//CIRCULAR ARC GRAPHS
4 29944 STRONG CHROMATIC INDEX//INDUCED MATCHING//INCIDENCE COLORING
5 25494 DEFENSIVE ALLIANCE//JUDICIOUS PARTITION//SECURE SET
6 28478 SIERPINSKI GRAPHS//TOWERS OF HANOI//HANOI GRAPHS
7 30664 FIREFIGHTER PROBLEM//SURVIVING RATE//RUPTURE DEGREE
8 23648 METRIC DIMENSION//RESOLVING SET//DISTINGUISHING NUMBER
9 10474 RESTRICTED EDGE CONNECTIVITY//DOUBLE LOOP NETWORK//DEGREE DIAMETER PROBLEM
10 3381 PARAMETERIZED COMPLEXITY//TREEWIDTH//PATHWIDTH

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