40:
264:
638:-index has been characterized in terms of three natural axioms by Woeginger (2008). The simplest of these three axioms states that by moving citations from weaker articles to stronger articles, one's research index should not decrease. Like the
398:
333:
422:-index only requires a minimum of n citations for the least-cited article in the set and thus ignores the citation count of very highly cited papers. Roughly, the effect is that
651:
462:-index saturates whenever the average number of citations for all published papers exceeds the total number of published papers; the way it is defined, the
39:
190:
344:
430:
allows citations from higher-cited papers to be used to bolster lower-cited papers in meeting this threshold. In effect, the
438:-index if a fixed number of citations can be distributed freely over a fixed number of papers. Therefore, in all cases
282:
183:
119:
136:
245:-index of 10 indicates that the top 10 publications of an author have been cited at least 100 times (10), a
837:
797:
Tol, Richard S.J. (2008). "A rational, successive g-index applied to economics departments in
Ireland".
832:
176:
23:
249:-index of 20 indicates that the top 20 publications of an author have been cited 400 times (20).
842:
82:
55:
767:
156:
60:
8:
218:
749:
450:-index often separates authors based on citations to a greater extent compared to the
753:
221:
suggested in 2006 by Leo Egghe. The index is calculated based on the distribution of
126:
97:
92:
806:
779:
739:
731:
204:
163:
655:
225:
received by a given researcher's publications, such that given a set of articles
141:
131:
31:
466:-index is not adapted to this situation. However, if an author with a saturated
815:
647:
256:
of highly cited articles for which the average number of citations is at least
107:
102:
810:
783:
735:
826:
151:
478:
An example of two authors who both published 10 papers, both authors have a
114:
65:
482:-index of 6. However, Author 1 has a g-index of 10 while Author 2 has a
229:
in decreasing order of the number of citations that they received, the
50:
426:
is the number of papers of a quality threshold that rises as h rises;
146:
744:
222:
87:
408:
226:
75:
669:
Given a set of researchers ranked in decreasing order of their
418:-index does not average the number of citations. Instead, the
271:-index (the raw citation data, plotted with stars, allows the
263:
680:-index is the (unique) largest number such that the top
393:{\displaystyle g\leq {\frac {1}{g}}\sum _{i\leq g}c_{i}}
233:-index is the unique largest number such that the top
347:
285:
252:
It can be equivalently defined as the largest number
770:(2008). "An axiomatic analysis of Egghe's g-index".
392:
327:
824:
260:. This is in fact a rewriting of the definition
718:Egghe, Leo (2006). "Theory and practise of the
328:{\displaystyle g^{2}\leq \sum _{i\leq g}c_{i}}
434:-index is the maximum reachable value of the
184:
275:-index to also be extracted for comparison).
191:
177:
766:
743:
262:
713:
711:
687:researchers have on average at least a
407:-index is an alternative for the older
825:
717:
708:
470:-index publishes more papers, their
237:articles received together at least
796:
654:. Therefore, Tol (2008) proposed a
446:, and is in most cases higher. The
203:For the G-index in photometry, see
13:
14:
854:
38:
661:Tol also proposed a collective
790:
760:
1:
702:
454:-index. However, unlike the
7:
10:
859:
202:
811:10.1016/j.joi.2008.01.001
784:10.1016/j.joi.2008.05.002
736:10.1007/s11192-006-0144-7
799:Journal of Informetrics
772:Journal of Informetrics
474:-index will increase.
394:
329:
276:
83:Bibliographic coupling
768:Woeginger, Gerhard J.
395:
330:
266:
652:discriminatory power
345:
283:
241:citations. Hence, a
838:Academic publishing
487:
219:author-level metric
650:and thus lacks in
477:
390:
379:
325:
314:
277:
120:Proximity Analysis
632:
631:
364:
362:
299:
201:
200:
127:Coercive citation
850:
833:Citation metrics
818:
814:
794:
788:
787:
764:
758:
757:
747:
715:
658:generalisation.
488:
476:
399:
397:
396:
391:
389:
388:
378:
363:
355:
334:
332:
331:
326:
324:
323:
313:
295:
294:
267:An example of a
205:Spectral G-index
193:
186:
179:
164:Kardashian Index
42:
32:Citation metrics
19:
18:
858:
857:
853:
852:
851:
849:
848:
847:
823:
822:
821:
795:
791:
765:
761:
716:
709:
705:
697:
686:
679:
384:
380:
368:
354:
346:
343:
342:
319:
315:
303:
290:
286:
284:
281:
280:
208:
197:
168:
132:Citation cartel
17:
16:Citation metric
12:
11:
5:
856:
846:
845:
840:
835:
820:
819:
805:(2): 149–155.
789:
778:(4): 364–368.
759:
730:(1): 131–152.
724:Scientometrics
706:
704:
701:
700:
699:
695:
684:
677:
648:natural number
630:
629:
626:
623:
622:Average cites
619:
618:
615:
612:
608:
607:
604:
601:
597:
596:
593:
590:
586:
585:
582:
579:
575:
574:
571:
568:
564:
563:
560:
557:
553:
552:
549:
546:
542:
541:
538:
535:
531:
530:
527:
524:
520:
519:
516:
513:
509:
508:
505:
502:
498:
497:
494:
491:
401:
400:
387:
383:
377:
374:
371:
367:
361:
358:
353:
350:
336:
335:
322:
318:
312:
309:
306:
302:
298:
293:
289:
199:
198:
196:
195:
188:
181:
173:
170:
169:
167:
166:
161:
160:
159:
154:
149:
139:
134:
129:
124:
123:
122:
112:
111:
110:
105:
100:
95:
85:
80:
79:
78:
73:
68:
58:
53:
47:
44:
43:
35:
34:
28:
27:
15:
9:
6:
4:
3:
2:
855:
844:
843:Index numbers
841:
839:
836:
834:
831:
830:
828:
817:
812:
808:
804:
800:
793:
785:
781:
777:
773:
769:
763:
755:
751:
746:
741:
737:
733:
729:
725:
721:
714:
712:
707:
694:
690:
683:
676:
672:
668:
667:
666:
664:
659:
657:
653:
649:
645:
641:
637:
627:
624:
621:
620:
616:
613:
610:
609:
605:
602:
599:
598:
594:
591:
588:
587:
583:
580:
577:
576:
572:
569:
566:
565:
561:
558:
555:
554:
550:
547:
544:
543:
539:
536:
533:
532:
528:
525:
522:
521:
517:
514:
511:
510:
506:
503:
500:
499:
495:
492:
490:
489:
486:-index of 7.
485:
481:
475:
473:
469:
465:
461:
457:
453:
449:
445:
441:
437:
433:
429:
425:
421:
417:
413:
411:
406:
385:
381:
375:
372:
369:
365:
359:
356:
351:
348:
341:
340:
339:
320:
316:
310:
307:
304:
300:
296:
291:
287:
279:
278:
274:
270:
265:
261:
259:
255:
250:
248:
244:
240:
236:
232:
228:
224:
220:
216:
214:
206:
194:
189:
187:
182:
180:
175:
174:
172:
171:
165:
162:
158:
155:
153:
152:Impact factor
150:
148:
145:
144:
143:
142:Journal-level
140:
138:
135:
133:
130:
128:
125:
121:
118:
117:
116:
113:
109:
106:
104:
101:
99:
96:
94:
91:
90:
89:
86:
84:
81:
77:
74:
72:
69:
67:
64:
63:
62:
59:
57:
56:Article-level
54:
52:
49:
48:
46:
45:
41:
37:
36:
33:
30:
29:
25:
21:
20:
802:
798:
792:
775:
771:
762:
727:
723:
719:
692:
688:
681:
674:
673:-index, the
670:
662:
660:
646:-index is a
643:
642:-index, the
639:
635:
633:
611:Total cites
483:
479:
471:
467:
463:
459:
458:-index, the
455:
451:
447:
443:
442:is at least
439:
435:
431:
427:
423:
419:
415:
409:
404:
402:
337:
272:
268:
257:
253:
251:
246:
242:
238:
234:
230:
212:
211:
209:
70:
61:Author-level
115:Co-citation
66:Eigenfactor
827:Categories
703:References
691:-index of
51:Altmetrics
754:207236267
722:-index".
600:Paper 10
496:Author 2
493:Author 1
373:≤
366:∑
352:≤
308:≤
301:∑
297:≤
223:citations
147:CiteScore
816:preprint
745:1942/981
665:-index.
656:rational
589:Paper 9
578:Paper 8
567:Paper 7
556:Paper 6
545:Paper 5
534:Paper 4
523:Paper 3
512:Paper 2
501:Paper 1
98:Dynamics
93:Analysis
88:Citation
24:a series
22:Part of
157:SCImago
76:H-index
71:G-index
752:
414:. The
412:-index
227:ranked
217:is an
215:-index
750:S2CID
625:10,2
108:Graph
103:Index
634:The
628:6,3
614:102
403:The
210:The
137:I4OC
807:doi
780:doi
740:hdl
732:doi
617:63
537:13
526:15
515:17
507:10
504:30
338:as
829::
801:.
774:.
748:.
738:.
728:69
726:.
710:^
606:1
603:1
595:2
592:3
584:4
581:4
573:5
570:5
562:6
559:6
551:8
548:8
540:9
529:9
518:9
26:on
813:.
809::
803:2
786:.
782::
776:2
756:.
742::
734::
720:g
698:.
696:1
693:g
689:g
685:1
682:g
678:1
675:g
671:g
663:g
644:g
640:h
636:g
484:g
480:h
472:g
468:g
464:g
460:g
456:h
452:h
448:g
444:h
440:g
436:h
432:g
428:g
424:h
420:h
416:h
410:h
405:g
386:i
382:c
376:g
370:i
360:g
357:1
349:g
321:i
317:c
311:g
305:i
292:2
288:g
273:h
269:g
258:n
254:n
247:g
243:g
239:g
235:g
231:g
213:g
207:.
192:e
185:t
178:v
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