On k-detour subgraphs of hypercubes

Journal of Graph Theory

Volumn 57, Issue 1, 2008, Pages 55-64

  Arizumi, Nana ^a   Hamburger, Peter ^a,b   Kostochka, Alexandr ^a,c  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^b WESTERN KENTUCKY UNIVERSITY   (United States)

^c SOBOLEV INSTITUTE OF MATHEMATICS   (Russian Federation)

Author keywords

Additive spanner; Hypercube; k detour

Indexed keywords

MATHEMATICAL MODELS; NUMERICAL METHODS; PROBLEM SOLVING;

ADDITIVE SPANNERS; HYPERCUBES; K-DETOUR; SUBGRAPHS;

GRAPH THEORY;

EID: 37649007662     PISSN: 03649024     EISSN: 10970118     Source Type: Journal    
DOI: 10.1002/jgt.20281     Document Type: Article

References (11)

1. D. Bass and I. H. Sudborough, Vertex-symmetric spanning subnetworks of hypercubes with small diameter, Proceedings of PDCS'99, The 11th IASTED International Conference on Parallel and Distributed Computing Systems, 1999, pp. 7-12.
2. V. Chepoi, F. Dragan, and C. Yan, Additive spanners for k-chordal graphs, Algorithms and Complexity, Springer LNCS 2653, 2003, pp. 96-107.
3. P. Erdos, P. Hamburger, R. E. Pippert, and W. D. Weakley, Hypercube subgraphs with minimal detours, J Graph Theory 23(2) (1996), 119-128.
4. P. Hamburger, A. Kostochka, and A. Sidorenko, Hypercube subgraphs with local detours, J. Graph Theory 30(2) (1999), 101-111.
5. G. A. Kabatyanskiǐ and V. I. Panchenko, Packings and coverings of the Hamming space by balls of unit radius, Problems Inform Transmission 24(4) (1988), 261-272, translated from Problemy Peredachi Informatsii 24(4) (1988), 3-16.
6. D. Kratsch, H. Le, H. Müller, E. Prisner, and D. Wagner, Additive tree spanners, SIAM J Discrete Math 17(2) (2004), 332-340.
7. A. L. Liestman and T. C. Shermer, Additive graph spanners, Networks 23(4) (1993), 343-363.
8. D. Peleg and A. A. Schärfer, Graph spanners, J Graph Theory 13(1) (1989), 99-116.
9. D. Peleg and J. D. Ullman, An optimal synchronizer for the hypercube, Proceedings of the Sixth Annual ACM Symposium on Principles of Distributed Computing, 1987, pp. 77-85.
10. J. Soares, Graph spanners: A survey, Congressus Numer 89 (1992), 225-238.
11. G. Venkatesan, U. Rotics, M. S. Madanlal, J. A. Makowsky, and C. Pandu Rangan, Restrictions of minimum spanner problems, Inform Comput 136(2) (1997), 143-164.