MOC
2010
12 years 11 months ago
2010
We discuss the numbers in the title, and in particular whether the minimum period of the Bell numbers modulo a prime p can be a proper divisor of Np = (pp - 1)/(p - 1). It is known...
DAM
2010
13 years 1 months ago
2010
An assignment of positive integer weights to the edges of a simple graph G is called irregular if the weighted degrees of the vertices are all different. The irregularity strength,...
CPC
2010
13 years 1 months ago
2010
Let P be a monotone increasing graph property, let G = (V, E) be a graph, and let q be a positive integer. In this paper, we study the (1 : q) Maker-Breaker game, played on the ed...
FSTTCS
2010
Springer
13 years 2 months ago
2010
Springer
In the Connected Dominating Set problem we are given as input a graph G and a positive integer k, and are asked if there is a set S of at most k vertices of G such that S is a dom...
IPL
1998
13 years 4 months ago
1998
An equitable coloring of a graph is a proper vertex coloring such that the sizes of any two color classes differ by at most one. The least positive integer k for which there exis...
COMBINATORICS
1999
13 years 4 months ago
1999
We study the 2-adic behavior of the number of domino tilings of a 2n
ENDM
2002
13 years 4 months ago
2002
Given a positive integer n and a family F of graphs, let R(n, F) denote the maximum number of colors in an edge-coloring of Kn such that no subgraph of Kn belonging to F has disti...
ENDM
2002
13 years 4 months ago
2002
A graph G homogeneously embeds in a graph H if for every vertex x of G and every vertex y of H there is an induced copy of G in H with x at y. The graph G uniformly embeds in H if...
DM
2002
13 years 4 months ago
2002
We propose two new classes of non-adaptive pooling designs. The first one is guaranteed to be
DAM
2002
13 years 4 months ago
2002
For a positive integer k, a k-subdominating function of a graph G = (V; E) is a function f : V {-1; 1} such that uNG[v] f(u)