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Research Article

Constructing featured supereulerian graph

Pages 2729-2738 | Received 01 May 2021, Published online: 20 Dec 2022

References

  • M. J. Algefari and H.-J. Lai, Supereulerian Graphs with Constraints on the Matching Number and Minimum Degree, Graphs and Combinatorics, 37 (2021) 55-64. doi: 10.1007/s00373-020-02229-x
  • M. An and L. Xiong, Supereulerian graphs, collapsible graphs and matchings, Acta Mathematicae Applicatae Sinia, 36(6) (2016) 871-877.
  • J. Bang-Jensen and A. Maddaloni, Sufficient conditions for a digraph to be supereulerian, J. Graph Theory, 79(1) (2015) 8-20. doi: 10.1002/jgt.21810
  • F. T. Boesch, C. Suffel, and R. Tindell, The spanning subgraphs of eulerian graphs, J. Graph Theory, 1, (1977) 79-84. doi: 10.1002/jgt.3190010115
  • J. A. Bondy and U. S. R. Murty, Graph Theory. Springer, New York, 2008.
  • P. A. Catlin, Supereulerian graphs: a survey, J. of Graph Theory, 16, (1992) 177-196. doi: 10.1002/jgt.3190160209
  • Z. H. Chen, H.-J. Lai, Reduction techniques for super-Eulerian graphs and related topics-a survey, Combinatorics and graph theory‘ 95, Vol. 1 (Hefei), World Sci. Publishing, River Edge, NJ 1995 pp. 53-69.
  • V. Chvátal and P. Erdös, A note on Hamiltonian circuits. Discrete Math., 2, (1972) 111-113. doi: 10.1016/0012-365X(72)90079-9
  • L. Han, H.-J. Lai, L. Xiong and H. Yan, The Chvátal-Erdös condition for supereulerian graphs and the Hamiltonian index, Discrete Math, 310, (2010) 2082-2090. doi: 10.1016/j.disc.2010.03.020
  • H.-J. Lai, Y. Shao and H. Yan, An Update on Supereulerian Graphs, WSEAS Transactions on Mathematics 12, (2013) 926-940.
  • H.-J. Lai and H. Y. Yan, Supereulerian graphs and matchings, Applied Math. Letters, 24 (2011) 1867-1869. doi: 10.1016/j.aml.2011.05.008
  • W. R. Pulleyblank, A note on graphs spanned by Eulerian graphs, J. Graph Theory, 3, (1979) 309-310. doi: 10.1002/jgt.3190030316
  • R. Tian and L. Xiong, The Chvátal-Erdös condition for a graph to have a spanning trail, Graphs and Combinatorics, 31 (2015) 1739-1754. doi: 10.1007/s00373-014-1484-3
  • Travis Baumbaugh and Felice Manganiello, Matroidal root structure of skew polynomials over finite fields, Journal of Discrete Mathematical Sciences and Cryptography, 22:3, (2019) 377-389, DOI: 10.1080/09720529.2019.1600845.
  • J. Xu, P. Li, Z. Miao, K. Wang and H.-J. Lai, Supereulerian graphs with small matching number and 2-connected hamiltonian claw-free graphs, International Journal of Computer Mathematics, 91 (2014), 1662-1672. doi: 10.1080/00207160.2013.858808

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