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一瞥

A Million Edge Drawing for a Fistful of Dollarsg infrastructure must not require major hardware or software investments. We report about the experimental analysis of a simple implementation of a spring embedder in Giraph, a vertex-centric open source framework for distributed computing. The algorithm is tested on real graphs of up?to 1 million e

CAB

Faster Force-Directed Graph Drawing with the Well-Separated Pair Decompositionsed frequently. Most of these algorithms are, however, quite slow on large graphs as they compute a quadratic number of forces in each iteration. We speed up this computation by using an approximation based on the well-separated pair decomposition..We perform experiments on a large number of graphs

Crumple

The Degenerate Crossing Number and Higher-Genus Embeddings at most once? This well-known open problem can be restated using crossing numbers: the degenerate crossing number, dcr(.), of . equals the smallest number . so that . has an embedding in a surface with . crosscaps in which every edge passes through each crosscap at most once. The genus crossing num

Abutment

BILE

Genus, Treewidth, and Local Crossing Numbersurfaces. We show that an .-vertex graph embedded on a surface of genus . with at most . crossings per edge has treewidth . and layered treewidth ., and that these bounds are tight up?to a constant factor. As a special case, the .-planar graphs with . vertices have treewidth . and layered treewidth

食物

MILK

突襲

The Book Embedding Problem from a SAT-Solving Perspectivenot cross. In this paper, we approach the problem of determining whether a graph can be embedded in a book of a certain number of pages from a different perspective: We propose a simple and quite intuitive SAT formulation, which is robust enough to solve non-trivial instances of the problem in reaso

choleretic

Size- and Port-Aware Horizontal Node Coordinate Assignmentrandes and Koepf presented a method that proved to work well in practice. We extend this method to make it possible to draw diagrams with nodes that have considerably different sizes and with edges that have fixed attachment points on a node’s perimeter (ports). Our extensions integrate seamlessly w