On minimum matrix representation of closure operations
Discrete Applied Mathematics
Two conjectures of Demetrovics, Furedi, and Katona, concerning partitions
Discrete Mathematics
Self-orthogonal Hamilton path decompositions
Discrete Mathematics - Special volume: Designs and Graphs
On a problem of Hering concerning orthogonal covers of Kn8
Journal of Combinatorial Theory Series A
On Orthogonal Double Covers of Graphs
Designs, Codes and Cryptography
Extremal Combinatorial Problems in Relational Data Base
FCT '81 Proceedings of the 1981 International FCT-Conference on Fundamentals of Computation Theory
SGDs with doubly transitive automorphism group
Journal of Graph Theory
Minimum matrix representation of closure operations
Discrete Applied Mathematics
Almost all cubic graphs are Hamiltonian
Random Structures & Algorithms
Almost all regular graphs are hamiltonian
Random Structures & Algorithms
Orthogonal double covers of Kn,n by small graphs
Discrete Applied Mathematics
Hi-index | 0.04 |
Let H be a graph on n vertices and G a collection of n subgraphs of H, one for each vertex. Then G is an orthogonal double cover (ODC) of H if every edge of H occurs in exactly two members of G and any two members share an edge whenever the corresponding vertices are adjacent in H. ODCs of complete graphs have been widely studied in literature. In this paper we are concerned with ODCs of arbitrary graphs. In particular, we investigate the existence of ODCs whose members are isomorphic sets of independent edges.