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DM
2010
107views more  DM 2010»
13 years 8 months ago
Degree-associated reconstruction number of graphs
A card of a graph G is a subgraph formed by deleting one vertex. The Reconstruction Conjecture states that each graph with at least three vertices is determined by its multiset of...
Michael D. Barrus, Douglas B. West
IWPEC
2009
Springer
14 years 3 months ago
Improved Induced Matchings in Sparse Graphs
An induced matching in graph G is a matching which is an induced subgraph of G. Clearly, among two vertices with the same neighborhood (called twins) at most one is matched in any...
Rok Erman, Lukasz Kowalik, Matjaz Krnc, Tomasz Wal...
DM
2010
78views more  DM 2010»
13 years 8 months ago
Injective colorings of sparse graphs
Let Mad(G) denote the maximum average degree (over all subgraphs) of G and let i(G) denote the injective chromatic number of G. We prove that if Mad(G) 5 2 , then i(G) + 1; sim...
Daniel W. Cranston, Seog-Jin Kim, Gexin Yu
COCOON
2009
Springer
14 years 3 months ago
Edge-Intersection Graphs of k-Bend Paths in Grids
Edge-intersection graphs of paths in grids are graphs that can be represented with vertices as paths in grids and edges between the vertices of the graph exist whenever two grid pa...
Therese C. Biedl, Michal Stern
CCCG
2009
13 years 9 months ago
Bold Graph Drawings
When a graph is drawn in a classical manner, its vertices are shown as small disks and its edges with a positive width; zero-width edges exist only in theory. Let r denote the rad...
Marc J. van Kreveld