Results 31 to 40 of about 11,868 (264)
Fractional Coloring of Bounded Degree Trees
We study the dipath-coloring problem in bounded degree and treewidth symmetric digraphs, in which one needs to color the dipaths with a minimum number of colors, in such a way that dipaths using the same arc have different colors. This classic combinatorial problem finds applications in the minimizat- ion of the number of wavelengths in wavelength ...
Afonso Ferreira +2 more
openalex +3 more sources
TDMA is Optimal for All-unicast DoF Region of TIM if and only if Topology is Chordal Bipartite [PDF]
The main result of this work is that an orthogonal access scheme such as TDMA achieves the all-unicast degrees of freedom (DoF) region of the topological interference management (TIM) problem if and only if the network topology graph is chordal bipartite,
Gesbert, David +3 more
core +4 more sources
Approximating Bin Packing within O(log OPT * log log OPT) bins [PDF]
For bin packing, the input consists of n items with sizes s_1,...,s_n in [0,1] which have to be assigned to a minimum number of bins of size 1. The seminal Karmarkar-Karp algorithm from '82 produces a solution with at most OPT + O(log^2 OPT) bins.
Rothvoss, Thomas
core +1 more source
Fractional Path Coloring in Bounded Degree Trees with Applications [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ioannis Caragiannis +4 more
openalex +4 more sources
Structural Properties of Index Coding Capacity Using Fractional Graph Theory [PDF]
The capacity region of the index coding problem is characterized through the notion of confusion graph and its fractional chromatic number. Based on this multiletter characterization, several structural properties of the capacity region are established ...
Arbabjolfaei, Fatemeh, Kim, Young-Han
core +1 more source
In this paper, we propose a distributed joint computation offloading and resource allocation optimization (JCORAO) scheme in heterogeneous networks with mobile edge computing.
Jing Zhang +3 more
doaj +1 more source
Nonrepetitive colorings of lexicographic product of graphs [PDF]
A coloring $c$ of the vertices of a graph $G$ is nonrepetitive if there exists no path $v_1v_2\ldots v_{2l}$ for which $c(v_i)=c(v_{l+i})$ for all $1\le i\le l$.
Keszegh, Balázs +2 more
core +3 more sources
Efficient Algorithms for Coded Multicasting in Heterogeneous Caching Networks
Coded multicasting has been shown to be a promising approach to significantly improve the performance of content delivery networks with multiple caches downstream of a common multicast link.
Giuseppe Vettigli +5 more
doaj +1 more source
Towards a Constructive Version of Banaszczyk's Vector Balancing Theorem [PDF]
An important theorem of Banaszczyk (Random Structures & Algorithms `98) states that for any sequence of vectors of $\ell_2$ norm at most $1/5$ and any convex body $K$ of Gaussian measure $1/2$ in $\mathbb{R}^n$, there exists a signed combination of these
Dadush, Daniel +3 more
core +2 more sources
Stochastic Heat Equation with Multiplicative Fractional-Colored Noise [PDF]
We consider the stochastic heat equation with multiplicative noise $u_t={1/2} u+ u \diamond \dot{W}$ in $\bR_{+} \times \bR^d$, where $\diamond$ denotes the Wick product, and the solution is interpreted in the mild sense. The noise $\dot W$ is fractional in time (with Hurst index $H \geq 1/2$), and colored in space (with spatial covariance kernel $f$).
Balan, Raluca, Tudor, Ciprian, A.
openaire +3 more sources

