Bounding Functions and Rigid Graphs
نویسندگان
چکیده
A function f bounds graphs from above if there exists an infinite family of graph G, such that if G ∈ G then f(|VG|) = |EG| and for all nonempty subgraphs H of G we have that F (|VH |) ≥ |EH |. This paper considers the question: which functions bound graphs? keywords graphs, extremal graph theory AMS subject classification 05C99
منابع مشابه
Bounding cochordal cover number of graphs via vertex stretching
It is shown that when a special vertex stretching is applied to a graph, the cochordal cover number of the graph increases exactly by one, as it happens to its induced matching number and (Castelnuovo-Mumford) regularity. As a consequence, it is shown that the induced matching number and cochordal cover number of a special vertex stretching of a graph G are equal provided G is well-covered bipa...
متن کاملRobust Visual Tracking with Double Bounding Box Model
A novel tracking algorithm that can track a highly non-rigid target robustly is proposed using a new bounding box representation called the Double Bounding Box (DBB). In the DBB, a target is described by the combination of the Inner Bounding Box (IBB) and the Outer Bounding Box (OBB). Then our objective of visual tracking is changed to find the IBB and OBB instead of a single bounding box, wher...
متن کاملCharacterizations of arboricity of graphs
The aim of this paper is to give several characterizations for the following two classes of graphs: (i) graphs for which adding any l edges produces a graph which is decomposible into k spanning trees and (ii) graphs for which adding some l edges produces a graph which is decomposible into k spanning trees. Introduction and Theorems The concept of decomposing a graph into the minimum number of ...
متن کاملEasy Realignment of k-DOP Bounding Volumes
In this paper we reconsider pairwise collision detection for rigid motions using a k-DOP bounding volume hierarchy. This data structure is particularly attractive because it is equally efficient for rigid motions as for arbitrary point motions (deformations). We propose a new efficient realignment algorithm, which produces tighter results compared to all known algorithms. It can be implemented ...
متن کاملUndirected and directed graphs with near polynomial growth
The growth function of a graph with respect to a vertex is near polynomial if there exists a polynomial bounding it above for infinitely many positive integers. In the paper vertex-symmetric undirected graphs and vertex-symmetric directed graphs with coinciding inand out-degrees are described in the case their growth functions are near polynomial.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- SIAM J. Discrete Math.
دوره 9 شماره
صفحات -
تاریخ انتشار 1996