Packing cycles in graphs, II

نویسندگان

  • Guoli Ding
  • Zhenzhen Xu
  • Wenan Zang
چکیده

A graph G packs if for every induced subgraph H of G, the maximum number of vertexdisjoint cycles in H is equal to the minimum number of vertices whose deletion from H results in a forest. The purpose of this paper is to characterize all graphs that pack.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On Open Packing Number of Graphs

In a graph G = (V,E), a subset $S⊂V$ is said to be an open packing set if no two vertices of S have a common neighbour in G. The maximum cardinality of an open packing set is called the open packing number and is denoted by $ρ^{o}$. This paper further studies on this parameter by obtaining some new bounds.

متن کامل

Almost Resolvable Maximum Packings of Complete Graphs with 4-Cycles

If the complete graph Kn has vertex set X , a maximum packing of Kn with 4-cycles, (X,C, L), is an edge-disjoint decomposition of Kn into a collection C of 4-cycles so that the unused edges (the set L) is as small a set as possible. Maximum packings of Kn with 4-cycles were shown to exist by Schönheim and Bialostocki (Can. Math. Bull. 18:703–708, 1975). An almost parallel class of a maximum pac...

متن کامل

Hamilton decompositions of regular expanders: Applications

In a recent paper, we showed that every sufficiently large regular digraph G on n vertices whose degree is linear in n and which is a robust outexpander has a decomposition into edge-disjoint Hamilton cycles. The main consequence of this theorem is that every regular tournament on n vertices can be decomposed into (n − 1)/2 edge-disjoint Hamilton cycles, whenever n is sufficiently large. This v...

متن کامل

Induced packing of odd cycles in planar graphs

An induced packing of odd cycles in a graph is a packing such that there is no edge in the graph between any two odd cycles in the packing. We prove that the problem is solvable in time O(n ) when the input graph is planar. We also show that deciding if a graph has an induced packing of two odd cycles is NP-complete.

متن کامل

Labeled packings of graphs

Graph packing generally considers unlabeled graphs. In this paper, we introduce a new variant of the graph packing problem, called the labeled packing of graphs. In particular, we present some results and conjectures about cycles.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:
  • J. Comb. Theory, Ser. B

دوره 87  شماره 

صفحات  -

تاریخ انتشار 2003