Sublinear bounds for randomized leader election

This paper concerns randomized leader election in synchronous distributed networks. A distributed leader election algorithm is presented for complete n-node networks that runs in O(1) rounds and (with high probability) uses only O(√ √nlog^3/2n) messages to elect a unique leader (with high probability). When considering the "explicit" variant of leader election where eventually every node knows the identity of the leader, our algorithm yields the asymptotically optimal bounds of O(1) rounds and O(. n) messages. This algorithm is then extended to one solving leader election on any connected non-bipartite n-node graph G in O(τ(. G)) time and O(τ(G)n√log^3/2n) messages, where τ(. G) is the mixing time of a random walk on G. The above result implies highly efficient (sublinear running time and messages) leader election algorithms for networks with small mixing times, such as expanders and hypercubes. In contrast, previous leader election algorithms had at least linear message complexity even in complete graphs. Moreover, super-linear message lower bounds are known for time-efficient deterministic leader election algorithms. Finally, we present an almost matching lower bound for randomized leader election, showing that Ω(n) messages are needed for any leader election algorithm that succeeds with probability at least 1/. e+. ε, for any small constant ε. >. 0. We view our results as a step towards understanding the randomized complexity of leader election in distributed networks.

On the Complexity of Universal Leader Election

Electing a leader is a fundamental task in distributed computing. In its implicit version, only the leader must know who is the elected leader. This article focuses on studying the message and time complexity of randomized implicit leader election in synchronous distributed networks. Surprisingly, the most "obvious" complexity bounds have not been proven for randomized algorithms. In particular, the seemingly obvious lower bounds of Ω(m) messages, where m is the number of edges in the network, and Ω(D) time, where D is the network diameter, are nontrivial to show for randomized (Monte Carlo) algorithms. (Recent results, showing that even Ω(n), where n is the number of nodes in the network, is not a lower bound on the messages in complete networks, make the above bounds somewhat less obvious). To the best of our knowledge, these basic lower bounds have not been established even for deterministic algorithms, except for the restricted case of comparison algorithms, where it was also required that nodes may not wake up spontaneously and that D and n were not known. We establish these fundamental lower bounds in this article for the general case, even for randomized Monte Carlo algorithms. Our lower bounds are universal in the sense that they hold for all universal algorithms (namely, algorithms that work for all graphs), apply to every D, m, and n, and hold even if D, m, and n are known, all the nodes wake up simultaneously, and the algorithms can make any use of node's identities. To show that these bounds are tight, we present an O(m) messages algorithm. An O(D) time leader election algorithm is known. A slight adaptation of our lower bound technique gives rise to an Ω(m) message lower bound for randomized broadcast algorithms. 

An interesting fundamental problem is whether both upper bounds (messages and time) can be reached simultaneously in the randomized setting for all graphs. The answer is known to be negative in the deterministic setting. We answer this problem partially by presenting a randomized algorithm that matches both complexities in some cases. This already separates (for some cases) randomized algorithms from deterministic ones. As first steps towards the general case, we present several universal leader election algorithms with bounds that tradeoff messages versus time. We view our results as a step towards understanding the complexity of universal leader election in distributed networks.

Annual message of his excellency Franklin J. Moses, Jr., Governor of South Carolina, to the General Assembly at the regular session of 1872-73

Governor Moses calls on South Carolinians to endeavor to become a respected member of the United States following the U.S. Civil War. His message addresses the status of the national debt, South Carolina public education, the South Carolina Orphan Asylum, the South Carolina Lunatic Asylum, the state penitentiary, the state’s quarantine of small pox, the revenue-generating phosphate deposits in the state, immigration to the state, the state’s flagship university, current state legislation, and the state militia.

Recent Archaeological Discoveries and Biblical Research, pt. 3

Discussion of how archaeology today can illuminate the world of the Bible, specifically the Israelite settlement in Canaan, and how it is possible to reconstruct the lost background of the Israelite cults.

Recent Archaeological Discoveries and Biblical Research, pt. 1

Discussion of how archaeology today can illuminate the world of the Bible, specifically the Israelite settlement in Canaan, and how it is possible to reconstruct the lost background of the Israelite cults.

Privatization and government preference in a public Stackelberg leader duopoly

We analyse the relationship between the privatization of a public firm and government preferences for tax revenue in a Stackelberg duopoly with the public firm as the leader. We assume that the government payoff is given by a weighted sum of tax revenue and the sum of consumer and producer surplus. We get that if the government puts a sufficiently larger weight on tax revenue than on the sum of both surpluses, it will not privatize the public firm. In contrast, if the government puts a moderately larger weight on tax revenue than on the sum of both surpluses, it will privatize the public firm.

Environmental taxes in a public Stackelberg leader duopoly

We study whether privatization of a public firm improves (or deteriorates) the environment in a mixed Stackelberg duopoly with the public firm as the leader. We assume that each firm can prevent pollution by undertaking abatement measures. We get that, since in the mixed market the industry output is higher than in the private market, the abatement levels are also higher in the mixed market, and, thus, environmental tax rate in the mixed duopoly is higher than that in the privatized duopoly. Furthermore, the environment is more damaged in the mixed than in the private market. The overall effect on the social welfare is that it will becomes higher in the private than in the mixed market.

The impact of talent management practices on employee retention: The moderator effect of leader-member exchange and role modeling

Organizations are undergoing serious difficulties to retain talent. Authors argue that Talent Management (TM) practices create beneficial outcomes for individuals and organizations. However, there is no research on the leaders’ role in the functioning of these practices. This study examines how LMX and role modeling influence the impact that TM practices have on employees’ trust in their organizations and retention. The analysis of two questionnaires (Nt1=175; Nt2=107) indicated that TM only reduced turnover intentions, via an increase in trust in the organization, when role modeling was high and not when it was low. Therefore, we can say that leaders are crucial in the TM context, and in sustaining a competitive advantage for organizations.

A qualitative approach to define the prototype of a Portuguese expatriate leader in Angola

This qualitative research analyzes the individual life experiences of Portuguese expatriate leaders who left their home country to work at organizations in Angola, a place that offers better job opportunities. Through interviews with those professionals and their followers, a prototype of a Portuguese expatriate leader in Angola has been developed. Even though Angola is a former Portuguese colony, it was at war for many years and so the economic situation and culture of the country are distant from what Portuguese workers are used too, which requires them to adapt and be open-minded to change.

Dr Heinze [leader de la fraction parlementaire du parti populaire allemand] : [photographie de presse] / [Agence Rol]

Référence bibliographique : Rol, 59711

The exercise leader's gender and physique salience : effects on self-presentational concerns in an exercise context

Self-presentation is the process by which individuals attempt to monitor and control how others perceive and evaluate them (Leary, 1992; Leary & Kowalski, 1990). Self-presentational concerns have been shown to influence a number of exercise-related behaviours, cognitions, and affective responses to exercise (e.g., social anxiety). Social anxiety occurs when an individual wants to create a specific impression on others, but is unsure (s)he will be successful (Leary & Kowalski, 1995). Social physique anxiety (SPA) is a specific form of social anxiety related the evaluation of one's body (Hart, Leary, & Rejeski, 1989). Both social anxiety and SPA may act as deterrents to exercise (Lantz, Hardy, & Ainsworth, 1997; Leary, 1992), so it is important to examine factors that may influence social anxiety and SPA; one such factor is self-presentational efficacy (SPE). SPE is one's confidence in successfully making desired impressions on others (Leary & Atherton, 1986) and has been associated with social anxiety and SPA (Leary & Kowalski, 1995; Gammage, Martin Ginis, & Hall, 2004). Several aspects of the exercise environment, such as the presence of mirrors, clothing, and the exercise leader or other participant characteristics, may be manipulated to influence self-presentational concerns (e.g., Gammage, Martin Ginis et aI., 2004; Martin & Fox, 2001; Martin Ginis, Prapavessis, & Haase, 2005). Given that the exercise leader has been recognized as one of the most important influences in the group exercise context (Franklin, 1988), it is important to further examine how the leader may impact self-presentational concerns. The present study examined the impact of the exercise leader's gender and physique salience (i.e., the extent to which the body was emphasized) on SPE, state social anxiety (SSA), and state social physique anxiety (SPA-S) of women in a live exercise class. Eighty-seven college-aged female non- or infrequent exercisers (i.e., exercised 2 or fewer times per week) participated in a group exercise class led by one of four leaders: a female whose physique was salient; a female whose physique was non-salient; a male whose physique was salient; or a male whose physique was non-salient. Participants completed measures of SPE, SSA, and SPA-S prior to and following completion of a 30- minute group exercise class. In addition, a measure of social comparison to the exercise leader and other participants with respect to attractiveness, skill, and fitness was completed by participants following the exercise class. A MANOV A was conducted to examine differences between groups on postexercise variables. Results indicated that there were no significant differences between groups on measures ofSPE, SSA, or SPA-S (allp's > .05). However, when all participants were collapsed into one group, a MANOV A showed a significant time effect (F(3, 81) = 19.45,p < .05, 1')2= .419). Follow-up ANOVAs indicated that post-exercise SPE increased significantly, while SSA and SPA-S decreased significantly (SPE: F(I, 83) = 30.87,p < .001,1')2 = .27; SSA: F(I,83) = 11.09,p < .001, 1')2 = .12; SPA-S: F (1,83) = 42.79,p < .001, 1')2 = .34). Further, results of a MANOVA revealed that participants who believed they were less fit than other group members (i.e., made negative social comparisons) reported significantly more post-exercise SSA and SP A-S than those who believed they were more fit than the other participants (i.e., made positive comparisons; SSA: F(2, 84) = 3.46, p < .05, 1')2 = .08; SPA-S: F(2, 84) = 5.69, p < .05, 1')2 = .12). These results may indicate that successfully completing an exercise class may serve as a source of SPE and lead to reduced social anxiety and SPA-S in this population. Alternatively, characteristics of the exercise leader may be less important than characteristics of the other participants. These results also suggest that the types of social comparisons made may influence self-presentational concerns in this sample. Future research should examine how the type of social comparison (i.e., negative or positive) made to the other group members may either generate or reduce anxiety. Also, factors that contribute to the types of social comparisons made with other exercisers should be examined. Implications for practice and research are discussed.