Triple Roman domination in graphs Abdollahzadeh Ahangar, H.; Álvarez, M.P.; Chellali, M. ...
Applied mathematics and computation,
02/2021, Letnik:
391
Journal Article
Recenzirano
The Roman domination in graphs is well-studied in graph theory. The topic is related to a defensive strategy problem in which the Roman legions are settled in some secure cities of the Roman Empire. ...The deployment of the legions around the Empire is designed in such a way that a sudden attack to any undefended city could be quelled by a legion from a strong neighbour. There is an additional condition: no legion can move if doing so leaves its base city defenceless. In this manuscript we start the study of a variant of Roman domination in graphs: the triple Roman domination. We consider that any city of the Roman Empire must be able to be defended by at least three legions. These legions should be either in the attacked city or in one of its neighbours. We determine various bounds on the triple Roman domination number for general graphs, and we give exact values for some graph families. Moreover, complexity results are also obtained.
Feeding the Roman Army in Britain Guest, Peter; Ma, Hongjiao; Mion, Leïa ...
Antiquity,
10/2023, Letnik:
97, Številka:
395
Journal Article
Recenzirano
Odprti dostop
How did the Roman Empire supply and maintain its frontier garrisons? What was the impact on populations and landscapes of conquered territories? The Feeding the Roman Army in Britain project will ...answer these questions by establishing how soldiers were provisioned and how frontiers operated as economic as well as militarised zones.
By engaging with recent developments in the study of empires, this book examines how inhabitants of Roman imperial Syria reinvented expressions and experiences of Greek, Roman and Syrian ...identification. It demonstrates how the organization of Greek communities and a peer polity network extending citizenship to ethnic Syrians generated new semiotic frameworks for the performance of Greekness and Syrianness. Within these, Syria's inhabitants reoriented and interwove idioms of diverse cultural origins, including those from the Near East, to express Greek, Roman and Syrian identifications in innovative and complex ways. While exploring a vast array of written and material sources, the book thus posits that Greekness and Syrianness were constantly shifting and transforming categories, and it critiques many assumptions that govern how scholars of antiquity often conceive of Roman imperial Greek identity, ethnicity and culture in the Roman Near East, and processes of 'hybridity' or similar concepts.
On the double Roman domination in graphs Abdollahzadeh Ahangar, Hossein; Chellali, Mustapha; Sheikholeslami, Seyed Mahmoud
Discrete Applied Mathematics,
12/2017, Letnik:
232
Journal Article
Recenzirano
Odprti dostop
A double Roman dominating function (DRDF) on a graph G=(V,E) is a function f:V(G)→{0,1,2,3} having the property that if f(v)=0, then vertex v has at least two neighbors assigned 2 under f or one ...neighbor w with f(w)=3, and if f(v)=1, then vertex v must have at least one neighbor w with f(w)≥2. The weight of a DRDF is the value f(V(G))=∑u∈V(G)f(u). The double Roman domination number γdR(G) is the minimum weight of a DRDF on G. First we show that the decision problem associated with γdR(G) is NP-complete for bipartite and chordal graphs. Then we present some sharp bounds on the double Roman domination number which partially answer an open question posed by Beeler et al. (2016) in their introductory paper on double Roman domination. Moreover, a characterization of graphs G with small γdR(G) is provided.
Over the past few decades, there has been a significant amount of research on the Roman Lower Danube frontier by international teams focusing on individual forts or broader landscape survey work; ...collectively, this volume represents the best of this collaboration with the aim of elevating the Lower Danube within broader Roman frontier scholarship.
The Lower Danube, running between Singidunum (modern Belgrade) and Halmyris in the Danube Delta, was one of the most densely fortified regions of the Roman Empire. The region has long been a border zone, today forming part of the border between Serbia and Romania, and the majority of the border between Romania and Bulgaria. Despite its importance for understanding both Roman frontier policy and the relationship between ancient and modern borderscapes, the region has not yet made its full contribution to international Roman scholarship. Bridging the theoretical divide that exists between different regional research traditions, chapters in this volume focus on sites like Ratiaria, in modern north-western Bulgaria, while other contributors examine the complex landscape from a wider perspective oriented around roads, temporary camps, or early Christian sites. The Roman Lower Danube Frontier emphasises the importance of engaging with Roman frontier landscapes, particularly in regions such as East-Central Europe, where they remain part of a contemporary borderscape.
The present volume collects most of the contributions to the plenary sessions held at the 24th International Congress of Byzantine Studies, and incisively reflects the ever increasing broadening of ...the very concept of ‘Byzantine Studies’. Indeed, a particularly salient characteristic of the papers presented here is their strong focus on interdisciplinarity and their breadth of scope, both in terms of methodology and content. The cross-pollination between different fields of Byzantine Studies is also a major point of the volume. Archaeology and art history have pride of place; it is especially in archaeological papers that one can grasp the vital importance of the interaction with the so-called hard sciences and with new technologies for contemporary research. This relevance of science and technology for archaeology, however, also applies to, and have significant repercussions in, historical studies, where – for example – the study of climate change or the application of specific software to network studies are producing a major renewal of knowledge. In more traditional subject fields, like literary, political, and intellectual history, the contributions to the present volume offer some important reflections on the connection between Byzantium and other cultures and peoples through the intermediary of texts, stories, diplomacy, trade, and war.
In the sixteenth and seventeenth centuries, German clockwork automata were collected, displayed, and given as gifts throughout the Holy Roman, Ottoman, and Mughal Empires. In Animating Empire , ...Jessica Keating recounts the lost history of six such objects and reveals the religious, social, and political meaning they held.
The intricate gilt, silver, enameled, and bejeweled clockwork automata, almost exclusively crafted in the city of Augsburg, represented a variety of subjects in motion, from religious figures to animals. Their movements were driven by gears, wheels, and springs painstakingly assembled by clockmakers. Typically wound up and activated by someone in a position of power, these objects and the theological and political arguments they made were highly valued by German-speaking nobility. They were often given as gifts and as tribute payment, and they played remarkable roles in the Holy Roman Empire, particularly with regard to courtly notions about the important early modern issues of universal Christian monarchy, the Reformation, the Counter-Reformation, the encroachment of the Ottoman Empire, and global trade.
Demonstrating how automata produced in the Holy Roman Empire spoke to a convergence of historical, religious, and political circumstances, Animating Empire is a fascinating analysis of the animation of inanimate matter in the early modern period. It will appeal especially to art historians and historians of early modern Europe.
E-book editions have been made possible through support of the Art History Publication Initiative (AHPI), a collaborative grant from the Andrew W. Mellon Foundation.
Richard Hingley here asks the questions: What is Romanization? Was Rome the first global culture? Romanization has been represented as a simple progression from barbarism to civilization. Roman forms ...in architecture, coinage, language and literature came to dominate the world from Britain to Syria. Hingley argues for a more complex and nuanced view in which Roman models provided the means for provincial elites to articulate their own concerns. Inhabitants of the Roman provinces were able to develop identities they never knew they had until Rome gave them the language to express them. Hingley draws together the threads of diverse and separate study, in one sophisticated theoretical framework that spans the whole Roman Empire. Students of Rome and those with an interest in classical cultural studies will find this an invaluable mine of information.
'A valuable addition to the scholarly literature.' - BMCR
'The explicit recognition of the complex relationship between past and present is one of the book's many strengths... a sophisticated and nuanced picture of 'Roman' identities... this book will do much to set the tone for a new generation of studies of the Roman World.' - Britannia
Specialist in Roman studies, with a particular focus upon Roman imperialism and the context of Roman research. Lecturer in Roman archaeology at the University of Durham. Author of Roman Officers and English Gentleman (Routledge 2000) and Images of Rome (Journal of Roman Archaeology, 2001).
Many early novels were cosmopolitan books, read from London to Leipzig and beyond, available in nearly simultaneous translations into French, English, German, and other European languages. InNovel ...Translations, Bethany Wiggins charts just one of the paths by which newness-in its avatars as fashion, novelties, and the novel-entered the European world in the decades around 1700. As readers across Europe snapped up novels, they domesticated the genre. Across borders, the novel lent readers everywhere a suggestion of sophistication, a familiarity with circumstances beyond their local ken.
Into the eighteenth century, the modern German novel was not German at all; rather, it was French, as suggested by Germans' usage of the French word Roman to describe a wide variety of genres: pastoral romances, war and travel chronicles, heroic narratives, and courtly fictions. Carried in large part on the coattails of the Huguenot diaspora, these romans, nouvelles, amours secrets, histoires galantes, and histories scandaleuses shaped German literary culture to a previously unrecognized extent. Wiggin contends that this French chapter in the German novel's history began to draw to a close only in the 1720s, more than sixty years after the word first migrated into German. Only gradually did the Roman go native; it remained laden with the baggage from its "French" origins even into the nineteenth century.
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