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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
JGT
2007
87views more  JGT 2007»
13 years 7 months ago
A new upper bound on the cyclic chromatic number
A cyclic colouring of a plane graph is a vertex colouring such that vertices incident with the same face have distinct colours. The minimum number of colours in a cyclic colouring...
Oleg V. Borodin, Hajo Broersma, Alexei N. Glebov, ...
ASPDAC
2005
ACM
73views Hardware» more  ASPDAC 2005»
14 years 1 months ago
An-OARSMan: obstacle-avoiding routing tree construction with good length performance
- Routing is one of the important steps in VLSI/ULSI physical design. The rectilinear Steiner minimum tree (RSMT) construction is an essential part of routing. Since macro cells, I...
Yu Hu, Tong Jing, Xianlong Hong, Zhe Feng 0002, Xi...
APPML
2008
92views more  APPML 2008»
13 years 8 months ago
On the domination number of Hamiltonian graphs with minimum degree six
Let G = (V, E) be a simple graph. A set D V is a dominating set of G if every vertex of V - D is adjacent to a vertex of D. The domination number of G, denoted by (G), is the min...
Hua-Ming Xing, Johannes H. Hattingh, Andrew R. Plu...
DAM
2007
141views more  DAM 2007»
13 years 7 months ago
On the packing chromatic number of Cartesian products, hexagonal lattice, and trees
The packing chromatic number χρ(G) of a graph G is the smallest integer k such that the vertex set of G can be partitioned into packings with pairwise different widths. Several...
Bostjan Bresar, Sandi Klavzar, Douglas F. Rall