One of the key open problems in network information theory is to obtain the capacity region for the two-user Interference Channel (IC). In this paper, new results are derived for this channel. As a first result, a noisy interference regime is given f...
Reinforcement Learning has drawn huge interest as a tool for solving optimal control problems. Solving a given problem (task or environment) involves converging towards an optimal policy. However, there might exist multiple optimal policies that can...
In minimum power network design problems we are given an undirected graph $G=(V,E)$ with edge costs $\{c_e:e \in E\}$. The goal is to find an edge set $F\subseteq E$ that satisfies a prescribed property of minimum power $p_c(F)=\sum_{v \in V} \max \{...
The Tree Augmentation Problem (TAP) is: given a connected graph $G=(V,{\cal E})$ and an edge set $E$ on $V$ find a minimum size subset of edges $F \subseteq E$ such that $(V,{\cal E} \cup F)$ is $2$-edge-connected. In the conference version \cite{EFK...
In the Activation Edge-Multicover problem we are given a multigraph $G=(V,E)$ with activation costs $\{c_{e}^u,c_{e}^v\}$ for every edge $e=uv \in E$, and degree requirements $r=\{r_v:v \in V\}$. The goal is to find an edge subset $J \subseteq E$ of...
We consider network design problems in which we are given a graph and seek a min-size $2$-connected subgraph that satisfies a prescribed property. $\bullet$ In the 1-Connectivity Augmentation problem the goal is to augment a connected graph by a mi...
Times of Israel. At his brit mila he was given the Hebrew name Binyamin Zeev Cohen, Israel (1959). Theodor Herzl, founder of political Zionism. T. Yoseloff
Ze'ev (Hebrew: זְאֵב, Zeév), also spelled Zeev or Zev, is a masculine given name of Hebrew origin meaning wolf. Diminutive forms of the name are Zevik
The promise recorded in Joshua 1:4 provides a sweeping description of Israelâs future borders-stretching from the wilderness region, up through Lebanon, and eastward to the Euphrates River, then â¦
Jan 26, 2018 · Regarding the southern border, it is said: âI will set your borders from the Red Sea to the Philistine Seaâ (Exodus 23:31). In other words the entire Sinai Peninsula on the Israeli border, given â¦
Given a complex, simple Lie group $G$ of adjoint type, we introduce the notion of an Epstein-Poincaré surface associated to a $G$-oper. These surfaces generalize Epstein's classical construction for $G=PGL_2 (\mathbb{C})$. As an application, we prov...
This community provides accessible teaching and accountability to help individuals shape their perspective. The program also assists in re-awakening your God-given childlike imagination to live a …
This is the written version of the summary talk given at the 20th Texas Symposium on Relativistic Astrophysics in Austin, Texas, on December 15, 2000. After a brief summary of some of the highlights at the conference, comments are offered on three...
This article reviews the use of differential forms and Lie derivatives to find symmetries of differential equations, as originally presented by Harrison and Estabrook, J. Math. Phys., 12 (1971), 653. An outline of the method is given, followed by e...
Joaquim is a masculine given name of Portuguese and Catalan origin. It is derived from the Hebrew name Yehoyaqim, which means "raised by Yahweh". The name has been used in various forms …
For each $r\ge 4$, we show that any graph $G$ with minimum degree at least $(1-1/100r)|G|$ has a fractional $K_r$-decomposition. This improves the best previous bounds on the minimum degree required to guarantee a fractional $K_r$-decomposition given...
Given an oriented surface bounding a handlebody, we study the subgroup of its mapping class group defined as the intersection of the handlebody group and the second term of the Johnson filtration: $\mathcal{A} \cap J_2$. We introduce two trace-like o...
The $k$-colouring reconfiguration problem asks whether, for a given graph $G$, two proper $k$-colourings $α$ and $β$ of $G$, and a positive integer $\ell$, there exists a sequence of at most $\ell+1$ proper $k$-colourings of $G$ which starts with $...
Computing the Delaunay triangulation (DT) of a given point set in $\mathbb{R}^D$ is one of the fundamental operations in computational geometry. Recently, Funke and Sanders (2017) presented a divide-and-conquer DT algorithm that merges two partial tr...
Jul 11, 2024 · Jayden is an intriguing Biblical name traditionally given to baby boys. Read on to discover why this name would be a fantastic choice for your baby.