SIAMDM
2008
13 years 11 months ago
2008
Ensembles of regular low-density parity-check codes over any finite Abelian group G are studied. The nonzero entries of the parity matrix are randomly chosen, independently and uni...
SIAMDM
2008
13 years 11 months ago
2008
SIAMDM
2008
13 years 11 months ago
2008
A set of pairwise edge-disjoint triangles of an edge-colored Kn is r-color avoiding if it does not contain r monochromatic triangles, each having a different color. Let fr(n) be th...
SIAMDM
2008
13 years 11 months ago
2008
In this short note we prove that there is a constant c such that every k-edge-coloring of the complete graph Kn with n 2ck contains a K4 whose edges receive at most two colors. Th...
SIAMDM
2008
13 years 11 months ago
2008
SIAMDM
2008
13 years 11 months ago
2008
SIAMDM
2008
13 years 11 months ago
2008
Let C be a code of length n over an alphabet of size q. A word d is a descendant of a pair of codewords x, y C if di {xi, yi} for 1 i n. A code C is an identifiable parent prop...
SIAMDM
2008
13 years 11 months ago
2008
For a real c 1 and an integer n, let f(n, c) denote the maximum integer f such that every graph on n vertices contains an induced subgraph on at least f vertices in which the max...
SIAMDM
2008
13 years 11 months ago
2008
We establish new lower and upper bounds for the real number graph labelling problem. As an application, we completely determine the optimum spans of L(p, q)-labellings of the infin...
SIAMDM
2008
13 years 11 months ago
2008
A graph G is strict quasi parity (SQP) if every induced subgraph of G that is not a clique contains a pair of vertices with no odd chordless path between them (an even pair). Houga...