Cite

[1] T. S. Ahuja, A. Tripathi, On the order of a graph with a given degree set. J. Comb. Math. Comb. Comput., 57 (2006) 157–162. ⇒74Search in Google Scholar

[2] G. Chartrand, H. Gavlas, F. Harary, M. Schultz, On signed degrees in signed graphs, Czechoslovak Math. J., 44, 4 (1994) 677–690. ⇒7910.21136/CMJ.1994.128488Search in Google Scholar

[3] G. Chartrand, R. J. Gould, S. F. Kapoor, Graphs with prescribed degree sets and girth, Periodica Math. Hung., 12, 4 (1981) 261–266. ⇒78, 9910.1007/BF01849614Search in Google Scholar

[4] G. Chartrand, L. Lesniak, J. Roberts, Degree sets for digraphs, Periodica Math. Hung., 7, 1 (1976) 77–85. ⇒100, 10110.1007/BF02019997Search in Google Scholar

[5] G. Chartrand, L. Lesniak, P. Zhang, Graphs & Digraphs, CRC Press, Boca Raton, 2011. ⇒72, 7710.1201/b14892Search in Google Scholar

[6] A. A. Chernyak, Minimal graphs with a given degree set and girth (Russian), Vestsi Akad. Navuk BSSR Ser. Fiz.-Mat. Navuk,1988, 2 21–25, 123. ⇒78Search in Google Scholar

[7] T. H. Cormen, Ch. E. Leiserson, R. L. Rivest, C. Stein. Introduction to Algorithms (third edition), The MIT Press/McGraw Hill, Cambridge/New York, 2009. ⇒85Search in Google Scholar

[8] Z. Dziechcińska-Halamoda, Z. Majcher, J. Michael, Z. Skupień, Extremum degree sets of irregular oriented graphs and pseudodigraphs, Discussiones Math. Graph Theory,, 26, 2 (2006) 317–333. ⇒10110.7151/dmgt.1323Search in Google Scholar

[9] J. A. Ellis, M. Mate-Montero, H. Müller, Serial and parallel algorithms for (k, 2)-partite graphs, J. Parallel Dist. Comp., 22 (1994) 129–137. ⇒8110.1006/jpdc.1994.1076Search in Google Scholar

[10] P. Erdős, H. Sachs, Reguläre Graphen gegebener Taillenweite mit minimaler Knotenzahl. Wiss. Z. Martin-Luther-Univ. Halle–Wittenburg, Math.-Natur. Reihe, 12 (1963) 251–258. ⇒77Search in Google Scholar

[11] J. L. Gross, J. Yellen, P. Zhang. Handbook of Graph Theory (second editionI, CRC Press, Boca Raton, FL, 2014. ⇒7210.1201/b16132Search in Google Scholar

[12] M. Hager. On score sets for tournaments, Discrete Math., 58 (1986) 25–34. ⇒99, 10010.1016/0012-365X(86)90183-4Search in Google Scholar

[13] S. L. Hakimi, On the realizability of a set of integers as degrees of the vertices of a simple graph. J. SIAM Appl. Math.10 (1962) 496–506. ⇒79Search in Google Scholar

[14] S. L. Hakimi, On the degrees of the vertices of a graph, F. Franklin Institute,279, (4) (1965) 290–308. ⇒10.1016/0016-0032(65)90340-6Search in Google Scholar

[15] F. Harary, On the notion of balance of a signed graph, Michigan Math. J.2, 2 (1953), 143–146. ⇒78, 7910.1307/mmj/1028989917Search in Google Scholar

[16] F. Harary, The number of linear, directed, rooted and connected graphs, Trans. Amer. Math. Soc, 78, 2 (1955) 445–463. ⇒7910.1090/S0002-9947-1955-0068198-2Search in Google Scholar

[17] F. Harary, E. Harzheim, The degree sets of connected infinite graphs. Fund. Math., 118, 3 (1983) 233–236. ⇒10110.4064/fm-118-3-233-236Search in Google Scholar

[18] A. Iványi, Reconstruction of score sets, Acta Univ. Sapientiae, Informatica, 6, 2 (2014) 210–229. ⇒9910.1515/ausi-2015-0005Search in Google Scholar

[19] A. Iványi, J. Elek, Reconstruction of tournaments using the set of outdegrees (in Russian), Heuristic Algorithms and Distributed Computations, 1, 4 (2014) 46–70. ⇒99Search in Google Scholar

[20] A. Iványi, J. Elek, Degree sets of tournaments, Studia Univ. Babeş-Bolyai, Informatica, 59 (2014) 150–164. ⇒99Search in Google Scholar

[21] A. Iványi, L. Lucz, T. Matuszka, G. Gombos, Score sets in multitournaments, I. Mathematical results, Annales Univ. Sci. Budapest., Sectio Comp., 40 (2013) 307–320. ⇒99Search in Google Scholar

[22] A. Iványi, B. M. Phong. On the unicity of the score sets of multitournaments, in: Fifth Conference on Mathematics and Computer Science (Debrecen, June 9–12, 2004), University of Debrecen, 2006, 10 pages. ⇒99Search in Google Scholar

[23] A. Iványi, S. Pirzada, N. A. Shah, Imbalances of bipartite multitournaments, Annales Univ. Sci. Budapest., Sectio Comp., 37 (2012) 215–238. ⇒99Search in Google Scholar

[24] S. F. Kapoor, L. Lesniak, Degree sets for triangle-free graphs. In Second Int. Conf. Comb. Math. (New York, 1978), pp. 320–330, Ann. New York Acad. Sci., 319, New York Acad. Sci., New York, 1979. ⇒8010.1111/j.1749-6632.1979.tb32806.xSearch in Google Scholar

[25] S. F. Kapoor, A. D. Polimeni, C. E. Wall, Degree sets for graphs, Fund. Math., 95, 3 (1977) 189–194. ⇒73, 8010.4064/fm-95-3-189-194Search in Google Scholar

[26] F. Kárteszi, Ciclici come risoluzionidi un certoproblema di minimo, Bol. Un. Mat. Ital., 15 (1960) 522–528, or Mat. Lapok, 11 (1960) 323–329 (in Hungarian). ⇒77Search in Google Scholar

[27] M. A. Khan, Equal sum sequences and imbalance sets of tournaments, arXiv, arXiv:1402.2456v1 [math.CO] 11 Feb 2014. ⇒102Search in Google Scholar

[28] S. Koukichi, H. Katsuhiro, Some remarks on degree sets for graphs. Rep. Fac. Sci. Kagoshima Univ. No. 32 (1999), 9–14. ⇒73Search in Google Scholar

[29] P. Kumar, M. N. J. Sarma, S. Sawlani, On directed tree realization of degree sets, in: ed. by S. K. Ghost, T. Tokuyama, WALCOM 2013, Lecture Notes in Computer Sciemce, 7748, 2013, 274–285. ⇒8010.1007/978-3-642-36065-7_26Search in Google Scholar

[30] Y. Manoussakis, H. P. Patil, Bipartite graphs and their degree sets, Electron. Notes on Discrete Math., (Proceedings of the R. C. Bose Centenary Symposium on Discrete Mathematics and Applications,) 15 (2003) 125–125. ⇒7510.1016/S1571-0653(04)00554-2Search in Google Scholar

[31] Y. Manoussakis, H. P. Patil, V. Sankar, Further results on degree sets for graphs, Mano I. J. M. S.,1, 2 (2001) 1–6. ⇒75Search in Google Scholar

[32] Y. Manoussakis, H. P. Patil, V. Sankar, Further results on degree sets for graphs, AKCE J. Graphs Combin., 1, 2 (2004) 77–82. ⇒75Search in Google Scholar

[33] Y. Manoussakis, H. P. Patil, On degree sets and the minimum orders in bipartite graphs, Discussiones Math. Graph Theory,34, 2 (2014) 383–390. ⇒81, 8810.7151/dmgt.1742Search in Google Scholar

[34] C. M. Mynhardt, Degree sets of degree uniform graphs, Graphs Comb., 1 (1985) 183–190. ⇒7810.1007/BF02582953Search in Google Scholar

[35] S. Osawa, Y. Sabata, Degree sequuences related to degree sets, Kokyuroki, 1744 (2011) 151–158. ⇒99Search in Google Scholar

[36] V. Petrović. On bipartite score sets, Zbornik radova Prirodno-matematičkog Fakulteta Universitetr u Novom Sadu, Ser. Mat., 13 (1983) 297–303. ⇒102, 103Search in Google Scholar

[37] S. Pirzada, An Introduction to Graph Theory, Universities Press, Hyderabad, India, 2012. ⇒73, 77, 99Search in Google Scholar

[38] S. Pirzada, F. A. Dar, Signed degree sets in signed tripartite graphs, Matematicki Vesnik, 59, 3 (2007) 121–124. ⇒96, 97, 99Search in Google Scholar

[39] S. Pirzada, F. A. Dar, A. Iványi, Existence of bipartite and tripartite graphs with prescribed degree sets, Heuristic Alg. Dist. Comp., 1, 1 (2015) 62–72. ⇒ 8110.1515/ausi-2015-0013Search in Google Scholar

[40] S. Pirzada, A. Iványi, M. A. Khan. Score sets and kings, in ed. A. Iványi, Algorithms of Informatics, Vol. 3, mondAt, Vác, 2013, 1337–1389. ⇒ 99Search in Google Scholar

[41] S. Pirzada, Merajuddin, T. A. Naikoo, Score sets in oriented 3-partite graphs, Analysis Theory Appl., 4 (2007) 363–374. ⇒10310.1007/s10496-007-0363-7Search in Google Scholar

[42] S. Pirzada, T. A. Naikoo, Score sets in oriented k-partite graphs, AKCE J. Graphs Combin., 3, 2 (2006) 135–145. ⇒103Search in Google Scholar

[43] S. Pirzada, T. A. Naikoo, Score sets in k-partite tournaments, J. Appl. Math. Comp.22, 1–2 (2006) 237–245. ⇒10110.1007/BF02896474Search in Google Scholar

[44] S. Pirzada, T. A. Naikoo, Score sets in oriented graphs, Appl. Anal. Discrete Math., 2, 1 (2008) 107–113. ⇒99, 10210.2298/AADM0801107PSearch in Google Scholar

[45] S. Pirzada, T. A. Naikoo, T. A. Chishti, Score sets in oriented bipartite graphs, Novi Sad J. Math, 36, 1 (2006) 35–45. ⇒101Search in Google Scholar

[46] S. Pirzada, T. A. Naikoo, F. A. Dar, Signed degree sets in signed bipartite graphs, arXiv, arXiv/math0609129v1 [math.CO], 5 September 2006, 5 pages. ⇒87Search in Google Scholar

[47] S. Pirzada, T. A. Naikoo, F. A. Dar, Signed degree sets in signed graphs, Czechoslovak Math. J., 57, 3 (2007) 843–848. ⇒79, 8010.1007/s10587-007-0079-zSearch in Google Scholar

[48] S. Pirzada, T. A. Naikoo, F. A. Dar, Degree sets in bipartite and 3-partite graphs, Oriental J. Math. Sciences, 1, 1 (2007) 47–53. ⇒81, 91, 95Search in Google Scholar

[49] S. Pirzada, T. A. Naikoo, F. A. Dar, A note on signed degree sets in signed bipartite graphs, Appl. Anal. Discrete Math., 2, 1 (2008) 114–117. ⇒8710.2298/AADM0801114PSearch in Google Scholar

[50] K. B. Reid. Score sets for tournaments, Congressus Numer., 21 (1978) 607–618. ⇒99, 100Search in Google Scholar

[51] K. B. Reid. Tournaments: Scores, kings, generalizations and special topics, Congressus Numer., 115 (1996) 171–211. ⇒99Search in Google Scholar

[52] T. A. Sipka, The orders of graphs with prescribed degree sets, J. Graph Theory, 4, 3 (1980) 301–307. ⇒7410.1002/jgt.3190040308Search in Google Scholar

[53] A. Tripathi, S. Vijay, On the least size of a graph with a given degree set, Discrete Appl. Math., 154 (2006) 2530–2536. ⇒75, 7610.1016/j.dam.2006.04.003Search in Google Scholar

[54] A. Tripathi, S. Vijay, A short proof of a theorem on degree sets of graphs, Discrete Appl. Math., 155 (2007) 670–671. ⇒7310.1016/j.dam.2006.09.006Search in Google Scholar

[55] R. I. Tyshkevich, A. A. Chernyak, Decomposition of graphs, Cybernetics Syst. Anal.21, (1985) 231–242. In Russian: Kibernetika, 2 (1985) 65–74. ⇒7310.1007/BF01072106Search in Google Scholar

[56] R. I. Tyshkevich, A. A. Chernyak, Zh. A. Chernyak, Decomposition of graphs, I, Cybernetics Syst. Anal., 23, 6 (1987), 734–745. In Russian: Kibernetika, 6 (1987) 12–19. ⇒7310.1007/BF01070234Search in Google Scholar

[57] R. I. Tyshkevich, A. A. Chernyak, Zh. A. Chernyak, Decomposition of graphs, II, Cybernetics Syst. Anal., 24, 2 (1988), 137–152. In Russian: Kibernetika, 2 (1988) 1–12. ⇒7310.1007/BF01082602Search in Google Scholar

[58] R. I. Tyshkevich, A. A. Chernyak, Zh. A. Chernyak, Decomposition of graphs, III, Cybernetics Syst. Anal., 24, 5 (1988), 539–550. In Russian: Kibernetika, 5 (1988) 1–8. ⇒73Search in Google Scholar

[59] L. Volkmann, Some remarks on degree sets of multigraphs, J. Combin. Math. Combin. Comput., 77 (2011) 45–49. ⇒76, 77Search in Google Scholar

[60] K. Wayland, Bipartite score sets, Canadian Math. Bull., 26 (1983) 273–279. ⇒102, 103Search in Google Scholar

[61] P. K. Wong, Cages—a survey, J. Graph Theory, 6, 1 (1982) 1–22. ⇒7810.1002/jgt.3190060103Search in Google Scholar

[62] Y. H. Yan, K. W. Lih, D. Kuo, G. J. Chang, Signed degree sequences in signed graphs, J. Graph Theory, 26, 1 (1977) 111–117. ⇒7910.1002/(SICI)1097-0118(199710)26:2<111::AID-JGT6>3.0.CO;2-VSearch in Google Scholar

[63] T. X. Yao. On Reid conjecture of score sets for tournaments. Chinese Science Bull., 34 (1989) 804–808. ⇒99, 100Search in Google Scholar

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