OF THE DISSERTATION Applications and Variations of Domination in Graphs by Paul Andrew Dreyer, Jr. Dissertation Director: Fred S. Roberts In a graph G = (V, E), S ⊆ V is a dominating set of G if every vertex is either in S or joined by an edge to some vertex in S. Many different types of domination have been researched extensively. This dissertation explores some new variations and applications...

Sinkholes are a well-known geologic hazard but their past occurrence, useful for subsidence risk prediction, is difficult to define, especially for ancient historic times. Consequently, our knowledge about Holocene carbonate landscapes is often limited. A multidisciplinary study of Trieste Karst (Italy), close to early Roman military fortifications, led to the identification of possible ancient...

Speech synthesis is process of spoken language as an input text and converted into speech waveforms. This paper describes the text to speech system for Devanagari scripted language and Roman Language. There are many earliest TTS systems are available but for Devanagari and Roman scripts are not available.

This paper is giving some notes on the town-planning of Mediolanum, that is, of the Roman Milano. In particular, we will discuss the orientation of the main street of the Roman town, the Decumanus. It is possible that the Decumanus of Mediolanum had been oriented along the major southern azimuth of moonrise.

An Anglican theologian contends that the claim to absolute protection for the human embryo from the moment of conception is a recent one in the Roman Catholic moral tradition. Citing pre-classical, classical, biblical, and post-biblical Roman Catholic sources, Dunstan argues that these traditions attempted to grade the protection provided to the nascent human being according to the stages of i...

The region of Campania exerted a powerful influence over the Roman cultural imagination. the volcanic landscape around the Bay of naples was blessed with immense natural beauty and abundance but also harbored some of nature’s most violent forces. in this suitably monumental setting, mythological heroes such as Heracles and aeneas were said to have performed famous deeds. campania was, moreover,...

We analyze the graph-theoretic formalization of Roman domination, dating back to the military strategy of Emperor Constantine, from a parameterized perspective. More specifically, we prove that this problem is W[2]-complete for general graphs. However, parameterized algorithms are presented for graphs of bounded treewidth and for planar graphs. Moreover, it is shown that a parametric dual of Ro...

When, as teenagers, we visited the historic site of Vaison-la-Romaine in Southern France, the discovery of Roman capitals buried under the foundations of a mediaeval church was really astounding. How, besides reusing full blocks of the antique architecture, the builders dared reduce the most worked Roman stones to the humble function of backfill? Have new builders become totally disrespectful t...