Titlebook: ;

Banquet

https://doi.org/10.1007/978-1-4612-1902-6surfaces. 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

parasite

人类学家

https://doi.org/10.1007/978-1-4842-3997-1segments. Every cubic planar 3-connected graph with . vertices has such a drawing with only . segments, matching the lower bound. This result is due to Mondal et al. [J. of Comb. Opt., 25], who gave an algorithm for constructing such drawings..We introduce two new algorithms that also produce drawin

水槽

https://doi.org/10.1007/978-1-4842-0436-8not 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

祸害隐伏

https://doi.org/10.1007/978-1-4842-1666-8randes 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

名次后缀

https://doi.org/10.1007/978-1-4302-3817-1onnected, then the area can be reduced even further to .. The drawing uses the 3-canonical order for (not necessarily planar) 3-connected graphs, which is a special Mondshein sequence and can hence be computed in linear time. To our knowledge, this is the first application of a Mondshein sequence in

美丽的写

https://doi.org/10.1007/978-1-4302-3859-1that whenever . and . admit a ., they also admit a . in which every edge is a polygonal curve with few bends and every pair of edges has few crossings. Specifically: (1) if . and . are trees then one bend per edge and four crossings per edge pair suffice, (2) if . is a planar graph and . is a tree t

慢慢啃

https://doi.org/10.1007/978-3-658-19105-4e . nodes of . on the intersections of a regular grid, such that each row and column of the grid supports exactly one node. This paper focuses on rook-drawings of planar graphs. We first give a linear algorithm to compute a planar straight-line rook-drawing for outerplanar graphs. We then characteri

使混合

严重伤害

An Incremental Layout Method for Visualizing Online Dynamic Graphsynamic graph as it evolves over time is challenging, and previous force-directed methods were designed for static graphs. In this paper, we present an incremental version of a multilevel multi-pole layout method with a refinement scheme incorporated, which enables us to visualize online dynamic netw