Fast algorithms for finding nearest common ancestors
SIAM Journal on Computing
On finding lowest common ancestors: simplification and parallelization
SIAM Journal on Computing
Complexity of circuit intersection in graphs
Discrete Mathematics
Fixed-parameter tractability of graph modification problems for hereditary properties
Information Processing Letters
A polynomial approximation algorithm for the minimum fill-in problem
STOC '98 Proceedings of the thirtieth annual ACM symposium on Theory of computing
Finding almost-satisfying assignments
STOC '98 Proceedings of the thirtieth annual ACM symposium on Theory of computing
The Design and Analysis of Computer Algorithms
The Design and Analysis of Computer Algorithms
Obstructions to Within a Few Vertices or Edges of Acyclic
WADS '95 Proceedings of the 4th International Workshop on Algorithms and Data Structures
The complexity of satisfiability problems
STOC '78 Proceedings of the tenth annual ACM symposium on Theory of computing
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Cai and Schieber (1997) proved that bipartite graphs plus one edge can be recognized in linear time. We extend their result to bipartite graphs plus two edges. Our algorithm works on a depth-first-search spanning tree. This gives, as a byproduct, also a simplified solution to the one-edge case. It is a notoriously open question whether recognizing bipartite graphs plus k edges is a fixed-parameter tractable problem. The present result might support the affirmative conjecture.