A Roman Villa Near Henley

The Mind in Motion: Walking and Metaphorical Travel in the Roman Villa

A characterization of trees with equal Roman 2-domination and Roman domination numbers

Given a graph $G=(V,E)$ and a vertex $v in V$, by $N(v)$ we represent the open neighbourhood of $v$. Let $f:Vrightarrow {0,1,2}$ be a function on $G$. The weight of $f$ is $omega(f)=sum_{vin V}f(v)$ and let $V_i={vin V colon f(v)=i}$, for $i=0,1,2$. The function $f$ is said to bebegin{itemize}item a Roman ${2}$-dominating function, if for every vertex $vin V_0$, $sum_{uin N(v)}f(u)geq 2$. The R...

A note on the Roman domatic number of a digraph

Roman dominating function} on a digraph $D$ with vertex set $V(D)$ is a labeling$fcolon V(D)to {0, 1, 2}$such that every vertex with label $0$ has an in-neighbor with label $2$. A set ${f_1,f_2,ldots,f_d}$ ofRoman dominating functions on $D$ with the property that $sum_{i=1}^d f_i(v)le 2$ for each $vin V(D)$,is called a {em Roman dominating family} (of functions) on $D$....

Fruits and Nuts of the Villa Farnesina

named Agostino Chigi (1466–1520) decided to build a new home for himself that was to be the most splendid in Rome. A banker to popes and kings, Chigi’s modus operandi was to lend money and, in return, obtain monopolies for such things as importation of grain or production of alum from mines. He often accepted jewelry for “security.” He was in a sense a pawnbroker and a wheeler-dealer who struct...

leaving the Villa and touching a Raw Nerve

Professor Sergio DellaPergola is one of the most distinguished scholars working on Israeli demographic and migration issues. I am delighted to have the opportunity to respond to his critical consideration of my article published in the previous issue of Israel Studies Review. I appreciate his agreement about the political and ideological significance of the question of the Jewish migration bala...