A Roman Dinner

A Business Dinner Problem

We are given suppliers and customers, and a set of tables. Every evening of the forthcoming days, there will be a dinner. Each customer must eat with each supplier exactly once, but two suppliers may meet at most once. The number of customers and the number of suppliers who can sit together at a table are bounded above by fixed parameters. What is the minimum number of evenings to be scheduled ...

Reunion Dinner

as a success and it has been decided to repeat it this year. The dinner will be in the Criterion Restaurant, Piccadilly Circus, London, W.I., on Saturday, 21st June, 1947, at 7-30 or 8 o'clock. Several Indian psychiatrists, members of the I.A.M.C., are temporarily in London; and this letter may catch the eye of others who propose to be in the U.K. during the summer on holiday or for post-gradua...

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...

An uninvited dinner guest.

The Centenary Dinner

The Centenary Dinner of the Bristol MedicoChirurgical Society took place at the Esso Motor Hotel, Hambrook, on Friday, 26th April, 1974, and was attended by nearly one hundred and fifty members and guests. The Guest of Honour was Sir John Stallworthy, President of the Royal Society of Medicine and the Society's other guests were Lady Stallworthy, Councillor C. Hebblethwaite, Deputy Lord Mayor o...