Unavoidable doubly connected large graphs
نویسندگان
چکیده
منابع مشابه
Unavoidable doubly connected large graphs
A connected graph is double connected if its complement is also connected The following Ramsey type theorem is proved in this paper There exists a function h n de ned on the set of integers exceeding three such that every double connected graph on at least h n vertices must contain as an induced subgraph a special double connected graph which is either one of the following graphs or the complem...
متن کاملUnavoidable double - connected large
A connected graph is double-connected if its complement is also connected. The following Ramsey-type theorem is proved in this paper. There exists a function h(n), deened on the set of integers exceeding three, such that every double-connected graph on at least h(n) vertices must contain, as an induced subgraph, a special double-connected graph, which is either one of the following graphs or th...
متن کاملUnavoidable parallel minors of 4-connected graphs
A parallel minor is obtained from a graph by any sequence of edge contractions and parallel edge deletions. We prove that, for any positive integer k, every internally 4-connected graph of sufficiently high order contains a parallel minor isomorphic to a variation of K4,k with a complete graph on the vertices of degree k, the k-partition triple fan with a complete graph on the vertices of degre...
متن کاملUnavoidable minors of large 4 - connected
11 It is known that any 3-connected matroid that is large enough is certain to contain 12 a minor of a given size belonging one of a few special classes of matroids. This 13 paper proves a similar unavoidable minor result for large 4-connected bicircular 14 matroids. The main result follows from establishing the list of unavoidable minors 15 of large 4-biconnected graphs, which are the graphs r...
متن کاملUnavoidable minors of graphs of large type
In this paper, we study one measure of complexity of a graph, namely its type. The type of a graph G is deened to be the minimum number n such that there is a sequence of graphs G = G 0 , G 1 , : : : , G n , where G i is obtained by contracting one edge in or deleting one edge from each block of G i?1 , and where G n is edgeless. We show that a 3-connected graph has large type if and only if it...
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: 2004
ISSN: 0012-365X
DOI: 10.1016/j.disc.2003.05.006