Download e-book for iPad: (3,k)-Factor-Critical Graphs and Toughness by Shi M., Yuan X., Cai M.

By Shi M., Yuan X., Cai M.

Show description

Read Online or Download (3,k)-Factor-Critical Graphs and Toughness PDF

Similar graph theory books

Algebraic Combinatorics: Walks, Trees, Tableaux, and More by Richard P. Stanley PDF

Written by way of one of many premiere specialists within the box, Algebraic Combinatorics is a special undergraduate textbook that might organize the subsequent iteration of natural and utilized mathematicians. the mix of the author’s large wisdom of combinatorics and classical and functional instruments from algebra will motivate prompted scholars to delve deeply into the attention-grabbing interaction among algebra and combinatorics.

Olaf Post's Spectral analysis on graph-like spaces PDF

Small-radius tubular constructions have attracted significant consciousness within the previous few years, and are usually utilized in varied components corresponding to Mathematical Physics, Spectral Geometry and worldwide research. during this monograph, we examine Laplace-like operators on skinny tubular buildings ("graph-like spaces''), and their typical limits on metric graphs.

Download e-book for kindle: Hypergraph Theory: An Introduction by Alain Bretto

This publication presents an creation to hypergraphs, its target being to beat the shortcoming of modern manuscripts in this conception. within the literature hypergraphs have many different names comparable to set structures and households of units. This paintings offers the idea of hypergraphs in its most unique features, whereas additionally introducing and assessing the most recent suggestions on hypergraphs.

New PDF release: ggplot2: Elegant Graphics for Data Analysis

This new version to the vintage publication via ggplot2 writer Hadley Wickham highlights compatibility with knitr and RStudio. ggplot2 is an information visualization package deal for R that is helping clients create facts pix, together with those who are multi-layered, comfortably. With ggplot2, it is easy to: produce good-looking, publication-quality plots with automated legends made out of the plot specificationsuperimpose a number of layers (points, strains, maps, tiles, field plots) from various info resources with instantly adjusted universal scalesadd customizable smoothers that use robust modeling services of R, equivalent to loess, linear versions, generalized additive versions, and powerful regressionsave any ggplot2 plot (or half thereof) for later amendment or reusecreate customized issues that catch in-house or magazine variety necessities and that may simply be utilized to a number of plotsapproach a graph from a visible point of view, considering how every one element of the knowledge is represented at the ultimate plotThis publication might be necessary to all people who has struggled with exhibiting facts in an informative and tasty method.

Additional resources for (3,k)-Factor-Critical Graphs and Toughness

Sample text

The crossing minimization problem is NP-hard even when restricted to 2-layer instances. Nevertheless, it has been attacked with a branch-and-cut algorithm that produces an optimum solution in exponential running time, see Healy and Kuusik [44]. , Elf et al. ) However, such methods have not yet reached the maturity and practical efficiency to be used in software systems for automatic graph drawing. Instead, most systems apply a layer by layer sweep as follows: Starting from some initial permutation of the vertices on each layer, such heuristics consider pairs of layers (L fixed , Lfree) = (Ll' L2), (L2' L 3 ), ...

Mannino, C. (1994) Upward drawings of triconnected digraphs. Algorithmica 6 (12), 476-497 6. , Tamassia, R. (1998) Optimal upward planarity testing of single-source digraphs. SIAM Journal on Computing 27, 132-169 7. , Lueker, G. (1976) Testing for the consecutive ones property, interval graphs, and graph planarity using PQ-tree algorithms. Journal of Computer and System Sciences 13, 335-379 8. Brandenburg, F. , Rohrer, C. (1996) An experimental comparison of force-directed and randomized graph drawing algorithms.

A typical force-directed layout. It should be stressed that the title of this section is a concession to the short tradition of automatic graph drawing and the title "Drawing on Physical Analogies" of a recommended survey of Brandes [9] would be much more appropriate, because what follows has little to do with what physicists do when they study ground states of physical systems and relaxation dynamics. Two-Dimensional Force-Directed Layout of Undirected Graphs. For ease of notation, we identify vertices and edges with their physical counterparts.

Download PDF sample

(3,k)-Factor-Critical Graphs and Toughness by Shi M., Yuan X., Cai M.

by Kevin

Rated 4.99 of 5 – based on 38 votes