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APPROX
2008
Springer
184views Algorithms» more  APPROX 2008»
14 years 11 months ago
Approximately Counting Embeddings into Random Graphs
Let H be a graph, and let CH(G) be the number of (subgraph isomorphic) copies of H contained in a graph G. We investigate the fundamental problem of estimating CH(G). Previous res...
Martin Fürer, Shiva Prasad Kasiviswanathan
JGT
2007
68views more  JGT 2007»
14 years 9 months ago
Forcing highly connected subgraphs
A well-known theorem of Mader [5] states that highly connected subgraphs can be forced in finite graphs by assuming a high minimum degree. Solving a problem of Diestel [2], we ex...
Maya Jakobine Stein
DM
2010
89views more  DM 2010»
14 years 9 months ago
Large induced subgraphs with equated maximum degree
For a graph G, denote by fk(G) the smallest number of vertices that must be deleted from G so that the remaining induced subgraph has its maximum degree shared by at least k verti...
Yair Caro, Raphael Yuster
JCT
2006
93views more  JCT 2006»
14 years 9 months ago
On the minimal degree implying equality of the largest triangle-free and bipartite subgraphs
Erdos posed the problem of finding conditions on a graph G that imply t(G) = b(G), where t(G) is the largest number of edges in a triangle-free subgraph and b(G) is the largest nu...
József Balogh, Peter Keevash, Benny Sudakov
STACS
2010
Springer
15 years 4 months ago
Planar Subgraph Isomorphism Revisited
Abstract. The problem of Subgraph Isomorphism is defined as follows: Given a pattern H and a host graph G on n vertices, does G contain a subgraph that is isomorphic to H? Eppstei...
Frederic Dorn