The entire thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file; a non-technical public abstract appears in the public.pdf file. Title from PDF of title page (University of Missouri--Columbia, viewed on October 14, 2009). Thesis advisor: Dr. Clarence Lo. Includes bibliographical references.

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Edmonds and Giles conjectured that the maximum number of directed joins in a packing is equal to the minimum weight of a directed cut, for any weighted directed graph. This is a generalization of Woodall's Conjecture (which is still open). Schrijver found the first known counterexample to the Edmonds-Giles Conjecture, while Cornuejols and Guenin found the next two. In this thesis we introduce new counterexamples, and prove that all minimal counterexamples of a certain type have now been found.

Edmonds and Giles conjectured that the maximum number of directed joins in a packing is equal to the minimum weight of a directed cut, for any weighted directed graph. This is a generalization of Woodall's Conjecture (which is still open). Schrijver found the first known counterexample to the Edmonds-Giles Conjecture, while Cornuejols and Guenin found the next two. In this thesis we introduce new counterexamples, and prove that all minimal counterexamples of a certain type have now been found.

Thesis (M. Div.)--Emmanuel School of Religion, 1994. / Vita. Includes bibliographical references (leaves 237-250).

Maxflödesproblemet har många praktiska tillämpningar och probleminstanserna kan bli mycket stora. Effektiva implementationer är därför nödvändigt för att körtiden inte ska bli alltför hög. I den här studien har två maxflödesalgoritmer, Edmonds-Karps algoritm och Goldberg-Tarjans push-relabel-algoritm, implementerats i Java med två olika da- tastrukturer och jämförts med varandra. Det framkommer att det är fördelaktigt att implementera en mer komplex, objektbaserad, grafre- presentation för grafinstanser som ligger under en kritisk gräns i antal kanter. När antalet kanter överstiger den kritiska gränsen blir en enkla- re, men mer minneskrävande, implementation med grannlista av heltal tillsammans med matriser effektivare. Tyvärr saknas tillräcklig data för att kunna dra slutsatser om huruvida Edmonds-Karps algoritm eller Goldberg-Tarjans push-relabel-algoritm är att föredra vid implementa- tion i Java. / The maximum flow problem has many real world applications and the problem instances can get very large. Efficient implementations are therefore important to limit execution time. In this report, two maximum flow algorithms, Edmonds-Karps algorithm and Goldberg-Tarjans push-relabel algoritm, has been implemented in Java, each with two different data structures. The efficiancy of the datastructures and algorithms was evaluated. It was found that a more complex, object based, graph representation is preferable for graph instances that have fewer than a critical number of edges. When the number of edges exceeds the critical limit the simpler, but more memory intensive, graph representa- tion is faster. Due to insufficient data, we were unable to analyze which of push-relabel and Edmonds-Karp that is preferable to implement in Java.

Syftet med denna uppsats är att undersöka hur relationen mellan interaktiv och generativ konst ser ut samt att försöka utreda om de kan förstås samexistera och definieras som ett utpräglat konstnärligt uttryck eller koncept. Detta i och med deras historiska och estetiska sammankoppling trots sina tillsynes paradoxala egenskaper. Generativ konst definieras ofta som konst skapad av ett autonomt system, till exempel ett datorprogram eller en maskin, vilket utifrån vissa givna regler självständigt utformar delar av eller ett fullständigt konstverk. Frånvaron av mänskligt inflytande, vare sig det rör sig om konstnären själv eller åskådare, blir alltså en tongivande avgränsning. Interaktiv konst är å andra sidan, som namnet indikerar, helt beroende av mänskligt handlande och deltagande och åskådaren eller användaren blir avgörande för verkets design och utförande. Undersökningen består i en analys av Peter Beyls konstverk Petri och Ernest verk-serie Shaping Form (and Space) ur vilken en diskussion kring gemensamma och definierande beröringspunkter görs. Undersökningen bekräftar tidigare studier som visar på att hybridformer mellan interaktiv och generativ konst existerar. Dessa innehar klart identifierbara aspekter av båda koncepten. Möjligt definierande och särskiljande element i form av bland annat ett fokus på ömsesidig påverkan eller influens mellan åskådare och generativa system eller människa och maskin identifieras också.

This thesis examines the life and works of the English Calvinist clergyman Daniel Featley (1582-1645) through the lens of various printed and manuscript sources, especially his manuscript notebooks in Oxford. It links his story and thought to the broader themes of early Stuart religious, political, and intellectual history. Chapter one analyses the first thirty- five years of Featley’s life, exploring how many of the features that underpin the major themes of Featley’s career—and which reemerged throughout his life—were formed and nurtured during Featley’s early years in Oxford, Paris, and Cornwall. There he emerges as an ambitious young divine in pursuit of preferment; a shrewd minister, who attempted to position himself within the ecclesiastical spectrum; and a budding polemicist, whose polemical exchanges were motivated by a pastoral desire to protect the English Church. Chapter two examines Featley’s role as an ecclesiastical licenser and chaplain to Archbishop George Abbot in the 1610s and 1620s. It offers a reinterpretation of the view that Featley was a benign censor, explores how pastoral sensitivities influenced his censorship, and analyses the parallels between Featley’s licensing and his broader ecclesiastical aims. Moreover, by exploring how our historiographical understandings of licensing and censorship have been clouded by Featley’s attempts to conceal that an increasingly influential anti- Calvinist movement was seizing control of the licensing system and marginalizing Calvinist licensers in the 1620s, this chapter (along with chapter 7) addresses the broader methodological issues of how to weigh and evaluate various vantage points. Chapters three and four analyse the publications resulting from Featley’s debates with prominent Catholic and anti-Calvinist leaders. These chapters examine Featley’s use of patristic tradition in these disputes, the pastoral motivations that underpinned his polemical exchanges, and how Featley strategically issued these polemical publications to counter Catholicism and anti-Calvinism and to promulgate his own alternative version of orthodoxy at several crucial political moments during the 1620s and 1630s. Chapter five focuses on how, in the 1620s and 1630s, the themes of prayer and preaching in his devotional work, Ancilla Pietatis, and collection of seventy sermons, Clavis Mystica, were complementary rather than contradictory. It also builds on several of the major themes of the thesis by examining how pastoral and polemical motivations were at the heart of these works, how Featley continued to be an active opponent—rather than a passive bystander and victim—of Laudianism, and how he positioned himself politically to avoid being reprimanded by an increasingly hostile Laudian regime. Chapter six explores the theme of ‘moderation’ in the events of the 1640s surrounding Featley’s participation at the Westminster Assembly and his debates with separatists. It focuses on how Featley’s pursuit of the middle way was both: a self-protective ‘chameleon- like’ survival instinct—a rudder he used to navigate his way through the shifting political and ecclesiastical terrain of this period—and the very means by which he moderated and manipulated two polarized groups (decidedly convictional Parliamentarians and royalists) in order to reoccupy the middle ground, even while it was eroding away. Finally, chapter seven examines Featley’s ‘afterlife’ by analysing the reception of Featley through the lens of his post-1660 biographers and how these authors, particularly Featley’s nephew, John Featley, depicted him retrospectively in their biographical accounts in the service of their own post-restoration agendas. By analysing how Featley’s own ‘chameleon-like’ tendencies contributed to his later biographers’ distorted perception of him, this final chapter returns to the major methodological issues this thesis seeks to address. In short, by exploring the various roles he played in the early Stuart English Church and seeking to build on and contribute to recent historiographical research, this study sheds light on the links between a minister’s pastoral sensitivities and polemical engagements, and how ministers pursued preferment and ecclesiastically positioned themselves, their opponents, and their biographical subjects through print.