@article{RSMUP_2014__132__75_0,
author = {Jumani, Ali Dino and Zamfirescu, Carol T. and Zamfirescu, Tudor I.},
title = {Lattice graphs with non-concurrent longest cycles},
journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
pages = {75--82},
publisher = {Seminario Matematico of the University of Padua},
volume = {132},
year = {2014},
mrnumber = {3276827},
zbl = {06379717},
language = {en},
url = {https://www.numdam.org/item/RSMUP_2014__132__75_0/}
}
TY - JOUR AU - Jumani, Ali Dino AU - Zamfirescu, Carol T. AU - Zamfirescu, Tudor I. TI - Lattice graphs with non-concurrent longest cycles JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2014 SP - 75 EP - 82 VL - 132 PB - Seminario Matematico of the University of Padua UR - https://www.numdam.org/item/RSMUP_2014__132__75_0/ LA - en ID - RSMUP_2014__132__75_0 ER -
%0 Journal Article %A Jumani, Ali Dino %A Zamfirescu, Carol T. %A Zamfirescu, Tudor I. %T Lattice graphs with non-concurrent longest cycles %J Rendiconti del Seminario Matematico della Università di Padova %D 2014 %P 75-82 %V 132 %I Seminario Matematico of the University of Padua %U https://www.numdam.org/item/RSMUP_2014__132__75_0/ %G en %F RSMUP_2014__132__75_0
Jumani, Ali Dino; Zamfirescu, Carol T.; Zamfirescu, Tudor I. Lattice graphs with non-concurrent longest cycles. Rendiconti del Seminario Matematico della Università di Padova, Volume 132 (2014), pp. 75-82. https://www.numdam.org/item/RSMUP_2014__132__75_0/
[1] - , Lattice graphs with Gallai's property, Bull. Math. Soc. Sci. Math. Roumanie, 56 (2013), pp. 65–71. | Zbl | MR
[2] - - - , On some super fault-tolerant Hamiltonian graphs, Appl. Math. Comput., 148 (2004), pp. 729–741. | Zbl | MR
[3] , Problem 4, in: Theory of Graphs Proc. Tihany 1966 (eds.: P. Erdös & G. Katona), Academic Press, New York, 1968, p. 362. | MR
[4] , A Graph Model for Fault-Tolerant Computing Systems, IEEE Trans. Comput., 25 (1976), pp. 875–884. | Zbl | MR
[5] - - , On the Construction of Combined -Fault-Tolerant Hamiltonian Graphs, Networks, 37 (2001), pp. 165–170. | Zbl | MR
[6] , A Memoir on the Theory of Mathematical Form, Phil. Trans. Roy. Soc. Lond., 177 (1886), pp. 170.
[7] , Longest cycles in grid graphs, Studia Sci. Math. Hung., 36 (2000), pp. 201–230. | Zbl | MR
[8] - - , Intersections of longest cycles in grid graphs, J. Graph Theory, 25 (1997), pp. 37–52. | Zbl | MR
[9] - - , Planar lattice graphs with Gallai's property, Graphs Combin., 29 (2013), pp. 1523–1529. | Zbl | MR
[10] - - , Fault-hamiltonicity of hypercube-like interconnection networks, Proc. of IEEE International Parallel and Distributed Processing Symposium IPDPS 2005, Denver, Apr. 2005.
[11] - - , Panconnectivity and pancyclicity of hypercube-like interconnection networks with faulty elements, Theoret. Comput. Sci., 377 (2007), pp. 170–180. | Zbl | MR
[12] , Sur le théorème de Tait, L'Intermdiaire des Mathématiciens, 5 (1898), pp. 225–227.
[13] - - , Intersecting longest paths and longest cycles: A survey, Electron. J. Graph Theory Appl., 1 (2013), pp. 56–76. | Zbl | MR
[14] - , Fault-tolerant designs in triangular lattice networks, submitted.
[15] , Über die Nichtexistenz eines Knotenpunktes, durch den alle längsten Wege eines Graphen gehen, J. Combin. Theory, 6 (1969), pp. 16. | Zbl | MR
[16] - , Fault-tolerant graphs for tori, Networks, 32 (1998), pp. 181–188. | Zbl | MR
[17] , A two-connected planar graph without concurrent longest paths, J. Combin. Theory, Ser. B, 13 (1972), pp. 116–121. | Zbl | MR
[18] , On longest paths and circuits in graphs, Math. Scand., 38 (1976), pp. 211–239. | Zbl | MR
[19] , Intersecting longest paths or cycles: a short survey, Analele Univ. Craiova, Ser. Mat.-Inf., 28 (2001), pp. 19. | Zbl | MR






