Weighted hierarchical alignment of directed acyclic graph
Sean M. Falconer, Dmitri Maslov
Abstract
In some applications of matching, the structural or hierarchical properties of the two graphs being aligned must be maintained. The hierarchical properties are induced by the direction of the edges in the two directed graphs. These structural relationships defined by the hierarchy in the graphs act as a constraint on the alignment. In this paper, we formalize the above problem as the weighted alignment between two directed acyclic graphs. We prove that this problem is NP-complete, show several upper bounds for approximating the solution, and finally introduce polynomial time algorithms for sub-classes of directed acyclic graphs.
Create a lesson
Related papers
Product Structure Meets Track Layouts
Michael A. Bekos, Giordano Da Lozzo, Petr Hliněný et al.
The Randomized Query Complexity of Finding Minimal Elements in Bounded-Width Posets
Luyao Fan, Jiayang Zou, Jiayang Gao et al.
On the Instance Optimality of Bidirectional Dijkstra's Algorithm
Matic Požar
Hadamard Flattening and Gaussian Pooling Sketch for Least Squares with Coordinate-wise Guarantee
Zhao Song, Lichen Zhang
Cheaper by the Batch: Shared Traversal for Genotype Graph Editing
Aaron Li, Yifan Li, Drew DeHaas et al.
Unpublished Draft: A Post-Processing Approach to Fairness in Tie-Aware Rankings
Somya Nigam, Johan Springael, Kenneth Sörensen