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» (k, )-Distance-Hereditary Graphs
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DM
2008
103views more  DM 2008»
15 years 7 months ago
Edge-colorings avoiding rainbow and monochromatic subgraphs
For two graphs G and H, let the mixed anti-Ramsey numbers, maxR(n; G, H), (minR(n; G, H)) be the maximum (minimum) number of colors used in an edge-coloring of a complete graph wi...
Maria Axenovich, Perry Iverson
DIALM
2008
ACM
135views Algorithms» more  DIALM 2008»
15 years 8 months ago
Symmetric range assignment with disjoint MST constraints
If V is a set of n points in the unit square [0, 1]2 , and if R : V + is an assignment of positive real numbers (radii) to to those points, define a graph G(R) as follows: {v, w}...
Eric Schmutz
COMBINATORICA
2008
84views more  COMBINATORICA 2008»
15 years 7 months ago
Parity check matrices and product representations of squares
Let NF(n, k, r) denote the maximum number of columns in an n-row matrix with entries in a finite field F in which each column has at most r nonzero entries and every k columns are...
Assaf Naor, Jacques Verstraëte
JGT
2008
88views more  JGT 2008»
15 years 6 months ago
On k-detour subgraphs of hypercubes
A spanning subgraph G of a graph H is a k-detour subgraph of H if for each pair of vertices x, y V (H), the distance, distG(x, y), between x and y in G exceeds that in H by at mo...
Nana Arizumi, Peter Hamburger, Alexandr V. Kostoch...
ESA
2007
Springer
100views Algorithms» more  ESA 2007»
16 years 1 months ago
Nash Equilibria in Voronoi Games on Graphs
In this paper we study a game where every player is to choose a vertex (facility) in a given undirected graph. All vertices (customers) are then assigned to closest facilities and...
Christoph Dürr, Nguyen Kim Thang