Locating the M(o)ther

The locating-chromatic number for Halin graphs

Let G be a connected graph. Let f be a proper k -coloring of G and Π = (R_1, R_2, . . . , R_k) bean ordered partition of V (G) into color classes. For any vertex v of G, define the color code c_Π(v) of v with respect to Π to be a k -tuple (d(v, R_1), d(v, R_2), . . . , d(v, R_k)), where d(v, R_i) is the min{d(v, x)|x ∈ R_i}. If distinct vertices have distinct color codes, then we call f a locat...

The locating chromatic number of the join of graphs

‎Let $f$ be a proper $k$-coloring of a connected graph $G$ and‎ ‎$Pi=(V_1,V_2,ldots,V_k)$ be an ordered partition of $V(G)$ into‎ ‎the resulting color classes‎. ‎For a vertex $v$ of $G$‎, ‎the color‎ ‎code of $v$ with respect to $Pi$ is defined to be the ordered‎ ‎$k$-tuple $c_{{}_Pi}(v)=(d(v,V_1),d(v,V_2),ldots,d(v,V_k))$‎, ‎where $d(v,V_i)=min{d(v,x):~xin V_i}‎, ‎1leq ileq k$‎. ‎If‎ ‎distinct...

Locating the Internet

Since March 2015, the public squares of Havana have been transformed from places where people stroll and children play to places where crowds gather to try to connect to the internet at all hours of the day and night. We present a field investigation of public WiFi hotspots in Havana, Cuba, and examine the possibilities of internet access these limited and expensive hotspots present to individu...

Locating the Televisual

Locating the stranger rapist.

As part of a larger project evaluating aspects of offender profiling, an initial study was undertaken of the geographic aspects of approximately 300 sexual offences carried out by 79 stranger rapists. The objective was to focus further research on the topic into potentially useful channels, but information thought to be of immediate use to investigating officers was also produced. It was ascert...