Volume 43 | Number 1 | Year 2017 | Article Id. IJMTT-V43P503 | DOI : https://doi.org/10.14445/22315373/IJMTT-V43P503
Ashish Kumar, "A study on Euler Graph and it's applications," International Journal of Mathematics Trends and Technology (IJMTT), vol. 43, no. 1, pp. 9-15, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V43P503
[1] Bhatt S., Even S., Greenberg D., and Tayar R. [2002]: “Traversing directed Eulerian mazes” Journal of Graph Algorithms and Applications, Vol. 6, Series 2, pp. 157–173.
[2] Chwe Byoung-Song [1994]: “A proof of some Schutzenberger type results for Eulerian paths and circuits on digraphs” International Journal of Mathematics and Mathematical Science, Vol. 17 No. 3, pp. 497-502.
[3] Dvorak Tomas, Havel Ivan and Liebl Petr [1997]: “Euler cycles in the complete graph K2m+1” Discrete Mathematics, Vol. 171, pp. 89-102.
[4] Isaev M. I. [2012]: “Asymptotic behaviour of the number of Eulerian circuits” Mathematics Company, arXiv:1104:3046v3
[5] Jonsson Jakob [2002]: “On the number of Euler trails in directed graphs” Mathematica Scandinavica, Vol. 90, pp. 191–214.
[6] Jordon Heather, Chartrand Gary and Zhang Ping [2014]: “A cycle decomposition conjecture for Eulerian graphs” Australian Journal of Combinatorics, Vol. 58, pp. 48–59.
[7] Khade R. H. and Chaudhari D. S. [2012]: “An approach for minimizing CMOS layout by applying Euler’s path rule” Proceedings published in International Journal of Computer Applications, Vol. 10, pp. 18-21
[8] Kotzig Anton and Turgeon M. Jean [1982]: “Quasi-groups defining Eulerian paths in Complete Graphs” Journal of Combinatorial Theory, Series B32, pp. 45-56.
[9] Mcdiarmid Lolin and Michael Molloy [2002]: “Edge-disjoint cycles in regular directed graph” Journal of Graph Theory, Vol. 22, Issue 3, pp. 231–237.
[10] Sarma Samar Sen, Basuli Krishnendu and Naskar Saptarshi [2008]: “Determination of Hamiltonian circuit and Euler trail from a given graphic degree sequence” Journal of Physical Sciences, Vol. 12, pp. 249-252.
[11] Shapira Asaf, Huang Hao, Ma Jie, Sudakov Benny andYuster Raphael [2012]: “Large feedback arc sets, high minimum degree subgraphs, and long cycles in Eulerian digraphs” Combinatorics, Probability and Computing, Vol. 22, Issue 06, pp. 859-873.
[12] Shen Jain and Brualdi A. Richard [2002]: “Disjoint cycles in Eulerian digraphs and the diameter of interchange graphs” Journal of combinatorial theory, Series B 85, pp. 189–196.
[13] Subramanian K. G., Hasni Roslan and Ismail Abdul Samad [2009]: “Some applications of Eulerian graphs” International Journal of Mathematical Science Education, Vol. 2, Series 2, pp. 1 – 10.