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Finding Innovative and Efficient Solutions to NP-Hard and NP-Complete Problems in Graph Theory

Cilt: 5 Sayı: 2 1 Aralık 2020
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Finding Innovative and Efficient Solutions to NP-Hard and NP-Complete Problems in Graph Theory

Öz

It is known that there are many NP-hard and NP-complete problems in graph theory. The aim of this paper to prepare some basic methods for solving such problems (min dominating set, max independent set, max clique, etc.). In order to construct such fundamentals, the effectiveness and ineffectiveness of all nodes in the given graph are computed. Then these values will be used in solving NP-Hard problems of graphs.

Anahtar Kelimeler

Kaynakça

  1. Alikhan, S., Peng, Y.-H., “Construction of Dominating Sets of Certain Graphs”, Journal of Discrete Mathematics, Vol:2013, Article ID:587196, 2013.
  2. Brandstadt, A., Mosca, R., “Maximum weight independent set for Lclaw-free graphs in polynomial time”, Discrete Applied Mathematics, Vol:237, pp:57-64, 2018.
  3. Bresar, B., Movarraei, N., “On the number of maximal independent sets in minimum colorings of split graphs”, Discrete Applied Mathematics, Vol:247, pp:352-356, 2018.
  4. Bron, C., Kerbosch, J.,”Algorithm 457: Finding all cliques of an undirected graph”, ACM Communication, Vol:16, pp:575-577, 1973. Connolly, S., Gabor, Z., Godbole, A., Kay, B., Kelly, T.,”Bounds on the Maximum Number of Minimum Dominating Sets”, Discrete Mathematics, Vol:339, pp:1537-1542, 2016.
  5. Deng, Y.-P., Sun, Y.-Q., Liu, Q., Wang, H.-C.,”Efficient Dominating Sets in Circular Graphs”, Discrete Mathematics, Vol:340, pp:1503-1507, 2017.
  6. Goddard, W., Henning, M.A., “Independent domination in Graphs: A Survey and Recent Results”, Discrete Mathematics, Vol: 313, pp:839-854, 2013.
  7. Golovach, P.A., Heggernes, P., Kante, M.M., Kratsch, D., Villanger, Y.,”Enumerating Minimal Dominating Sets in Chordal Bipartite Graphs”, Discrete Applied Mathematics, Vol:199, pp:30-36, 2016.
  8. Jarden, A., Levit, V.E., Mandrescu, E.,”Critical and maximum independent sets of a graph”, Discrete Applied Mathematics, Vol: 247, pp:127-134, 2018.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Bilgisayar Yazılımı

Bölüm

Araştırma Makalesi

Yazarlar

Ali Karci *
Türkiye

Yayımlanma Tarihi

1 Aralık 2020

Gönderilme Tarihi

7 Nisan 2020

Kabul Tarihi

16 Nisan 2020

Yayımlandığı Sayı

Yıl 2020 Cilt: 5 Sayı: 2

Kaynak Göster

APA
Karci, A. (2020). Finding Innovative and Efficient Solutions to NP-Hard and NP-Complete Problems in Graph Theory. Computer Science, 5(2), 137-143. https://izlik.org/JA77YN26SS
AMA
1.Karci A. Finding Innovative and Efficient Solutions to NP-Hard and NP-Complete Problems in Graph Theory. JCS. 2020;5(2):137-143. https://izlik.org/JA77YN26SS
Chicago
Karci, Ali. 2020. “Finding Innovative and Efficient Solutions to NP-Hard and NP-Complete Problems in Graph Theory”. Computer Science 5 (2): 137-43. https://izlik.org/JA77YN26SS.
EndNote
Karci A (01 Aralık 2020) Finding Innovative and Efficient Solutions to NP-Hard and NP-Complete Problems in Graph Theory. Computer Science 5 2 137–143.
IEEE
[1]A. Karci, “Finding Innovative and Efficient Solutions to NP-Hard and NP-Complete Problems in Graph Theory”, JCS, c. 5, sy 2, ss. 137–143, Ara. 2020, [çevrimiçi]. Erişim adresi: https://izlik.org/JA77YN26SS
ISNAD
Karci, Ali. “Finding Innovative and Efficient Solutions to NP-Hard and NP-Complete Problems in Graph Theory”. Computer Science 5/2 (01 Aralık 2020): 137-143. https://izlik.org/JA77YN26SS.
JAMA
1.Karci A. Finding Innovative and Efficient Solutions to NP-Hard and NP-Complete Problems in Graph Theory. JCS. 2020;5:137–143.
MLA
Karci, Ali. “Finding Innovative and Efficient Solutions to NP-Hard and NP-Complete Problems in Graph Theory”. Computer Science, c. 5, sy 2, Aralık 2020, ss. 137-43, https://izlik.org/JA77YN26SS.
Vancouver
1.Ali Karci. Finding Innovative and Efficient Solutions to NP-Hard and NP-Complete Problems in Graph Theory. JCS [Internet]. 01 Aralık 2020;5(2):137-43. Erişim adresi: https://izlik.org/JA77YN26SS

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