NDLI: Electronic Communications of the EASST Volume 6 ( 2007 ) Proceedings of the Sixth International Workshop on Graph Transformation and Visual Modeling Techniques ( GT-VMT 2007 ) Imposing Hierarchy on a Graph

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Electronic Communications of the EASST Volume 6 ( 2007 ) Proceedings of the Sixth International Workshop on Graph Transformation and Visual Modeling Techniques ( GT-VMT 2007 ) Imposing Hierarchy on a Graph

Content Provider	Semantic Scholar
Author	Sheehan, Brendan Gaudin, Benoit Quigley, Aaron
Copyright Year	2007
Abstract	This paper investigates a way of imposing a hierarchy on a graph in order to explore relationships between elements of data. Imposing a hierarchy is equivalent to clustering. First a tree structure is imposed on the initial graph, then a k-partite structure is imposed on each previously obtained cluster. Imposing a tree exposes the hierarchical structure of the graph as well as providing an abstraction of the data. In this study three kinds of merge operations are considered and their composition is shown to yield a tree with a maximal number of vertices in which vertices in the tree are associated with disjoint connected subgraphs. These subgraphs are subsequently transformed into k-partite graphs using similar merge operations. These merges also ensure that the obtained tree is proper with respect to the hierarchy imposed on the data. A detailed example of the technique's application in exposing the structure of protein interaction networks is described. The example focuses on the MAPK cell signalling pathway. The merge operations help expose where signal regulation occurs within the pathway and from other signalling pathways within the cell.
File Format	PDF HTM / HTML
Alternate Webpage(s)	https://www.researchgate.net/profile/Aaron_Quigley/publication/220054206_Imposing_Hierarchy_on_a_Graph/links/0deec539af73726634000000.pdf
Alternate Webpage(s)	https://journal.ub.tu-berlin.de/eceasst/article/download/68/45
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article

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