منابع مشابه
Connected permutation graphs
A permutation graph is a simple graph associated with a permutation. Let cn be the number of connected permutation graphs on n vertices. Then the sequence {cn} satisfies an interesting recurrence relation such that it provides partitions of n! as n! =nk=1 ck · (n− k)!. We also see that, if uniformly chosen at random, asymptotically almost all permutation graphs are connected. © 2007 Elsevier B....
متن کاملPermutation Bigraphs: An Analogue of Permutation Graphs
We introduce the class of permutation bigraphs as an analogue of permutation graphs. We show that this is precisely the class of bigraphs having Ferrers dimension at most 2. We also characterize the subclasses of interval bigraphs and indifference bigraphs in terms of their permutation labelings, and we relate permutation bigraphs to posets of dimension 2.
متن کاملBoxicity of Permutation Graphs
An axis parallel d-dimensional box is the cartesian product R1 × R2 × · · · × Rd where each Ri is a closed interval on the real line. The boxicity of a graph G, denoted as box(G), is the minimum integer d such that G can be represented as the intersection graph of a collection of d-dimensional boxes: that is two vertices are adjacent if and only if their corresponding boxes intersect. Permutati...
متن کاملBipartite permutation graphs
Bipartite graphs and permutation graphs are two well known subfamilies of the perfect graphs. Neither of these families is contained in the other, and their intersection is nonempty. This paper shows that graphs which are both bipartite and permutation graphs have good algorithmic properties. These graphs can be recognized in linear time, and several problems which are NP-complete or of unknown...
متن کاملGraphs of Permutation Groups
1. Dejter, I., Giudici, R.E.: On Unitary Cayley graphs, JCMCC, 18,121-124. 2. Brrizbitia, P and Giudici, R.E. 1996, Counting pure k-cycles in sequence of Cayley graphs, Discrete math., 149, 11-18. 3. Madhavi, L and Maheswari, B.2009, Enumeration of Triangles and Hamilton Cycles in Quadratic residue Cayley graphas, Chamchuri Journal of Mathematics, 1,95-103. 4. Madhavi, L and Maheswari, B. 2010,...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2007
ISSN: 0012-365X
DOI: 10.1016/j.disc.2006.11.014