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- All HBS Web (35)
- Faculty Publications (7)
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- All HBS Web (35)
- Faculty Publications (7)
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- Article
Every Large Point Set Contains Many Collinear Points or an Empty Pentagon
By: Zachary Abel, Brad Ballinger, Prosenjit Bose, Sébastien Collette, Vida Dujmović, Ferran Hurtado, Scott Duke Kominers, Stefan Langerman, Attila Pór and David Wood
We prove the following generalised empty pentagon theorem for every integer ℓ ≥ 2, every sufficiently large set of points in the plane contains ℓ collinear points or an empty pentagon. As an application, we settle the next open case of the “big line or big clique”...
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Keywords:
Erdős-Szekeres Theorem;
Happy End Problem;
Big Line Or Big Clique Conjecture;
Empty Quadrilateral;
Empty Pentagon;
Empty Hexagon
Abel, Zachary, Brad Ballinger, Prosenjit Bose, Sébastien Collette, Vida Dujmović, Ferran Hurtado, Scott Duke Kominers, Stefan Langerman, Attila Pór, and David Wood. "Every Large Point Set Contains Many Collinear Points or an Empty Pentagon." Graphs and Combinatorics 27, no. 1 (January 2011): 47–60.
- July 31, 1988
- Article
Private Industry's Lessons for the Pentagon
By: J. Ronald Fox
Fox, J. Ronald. "Private Industry's Lessons for the Pentagon." Los Angeles Times (July 31, 1988).
- May 2004 (Revised April 2005)
- Case
United States Army
By: Rajiv Lal and Laura Coleman
After three months of close collaboration, the Leo Burnett USA/Worldwide agency and partner Cartel and Images advertising/creative team were poised to unveil to senior Army officials at the Pentagon their replacement to the "Be All You Can Be" campaign to help increase...
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Keywords:
Advertising Campaigns;
Decisions;
Globalization;
Recruitment;
Management Teams;
Marketing Strategy;
United States
Lal, Rajiv, and Laura Coleman. "United States Army." Harvard Business School Case 504-038, May 2004. (Revised April 2005.)
- March 2023 (Revised March 2024)
- Case
Accelerating AI Adoption in the U.S. Air Force
By: Maria P. Roche and Alexander Farrow
In August 2022, the Pentagon tasked U.S. Air Force Captain Victor Lopez to launch a new office for AFWERX, an Air Force innovation unit that leveraged commercial developers and military talent to acquire advanced technologies. This task was particularly arduous because...
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Keywords:
Technological Innovation;
Organizational Design;
AI and Machine Learning;
Adoption;
Technology Adoption;
United States
Roche, Maria P., and Alexander Farrow. "Accelerating AI Adoption in the U.S. Air Force." Harvard Business School Case 723-429, March 2023. (Revised March 2024.)
- 24 Oct 2023
- Cold Call Podcast
How the United States Air Force Accelerated AI Adoption
Keywords:
Re: Maria P. Roche
- April 2006
- Case
Medical Innovation Beyond MedStar: Mobilizing for National Impact
By: Rosabeth M. Kanter, Ryan Raffaelli and Michelle Heskett
Dr. Craig Feied, director of MedStar Health's Medical Informatics programs, wanted his innovations to influence national health care. Since joining Washington Hospital Center's Emergency Department in 1995 with Dr. Mark Smith, their information system had become the...
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- December 2010
- Article
Organising Response to Extreme Emergencies: The Victorian Bushfires of 2009
By: Dutch Leonard and Arnold M. Howitt
How can people and organisations best respond to emergency events that are significantly beyond the boundaries of what they had generally anticipated, expected, prepared for-or even imagined? What forms of organisations are likely to be best able to cope with such...
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Keywords:
Organizations;
Management Practices and Processes;
Natural Disasters;
Crisis Management;
Boundaries;
United States
Leonard, Dutch, and Arnold M. Howitt. "Organising Response to Extreme Emergencies: The Victorian Bushfires of 2009." Australian Journal of Public Administration 69, no. 4 (December 2010).
- 2016
- Case
Advanced Leadership Pathways: Alberto Mora and the Costs and Consequences of Torture
By: Rosabeth M. Kanter and Benjamin Summers
Alberto Mora's time as General Counsel of the Navy from 2001–2006 greatly influenced his mission to illuminate the policy consequences of torture. Mora's drive to restore the nation's awareness and conscience against torture was gaining traction. Prominent...
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Keywords:
Leadership Skills;
Torture;
Costs And Consequences;
Humane;
Restraint;
Human Dignity;
Treatment Of Prisoners;
Prison;
Repression;
Opposition;
Revolution;
Democracy;
Communism;
International Affairs;
Public Service;
September 11;
War On Terror;
Operation Enduring Freedom;
Guantanamo;
Cuba;
Coalition;
Working Group;
Cruelty;
Interrogation;
Memorandum;
American Law;
Authority;
Authoritative;
Quadrennial Defense Review;
National Defense Authorization Act;
Public Engagement;
Advocacy;
Law;
Accountability;
Center For The Victims Of Torture;
Human Rights;
Public Policy;
Legality;
Morality;
Legal System;
Tactical Military Operations;
West Point;
NGO;
Human Rights First;
American Civil Liberties Union;
Human Rights Watch;
Amnesty International;
Constitution Project;
Center For Constitutional Rights;
Strategic Military Effect;
National Security;
Weapon;
Terrorism;
Prisoners Of War;
Abu Ghraib;
Pentagon;
Ethics;
Moral Sensibility;
Leadership;
Rights;
Policy;
Public Opinion;
United States
Kanter, Rosabeth M., and Benjamin Summers. "Advanced Leadership Pathways: Alberto Mora and the Costs and Consequences of Torture." Harvard Business School Case 316-054, 2016. (Harvard Advanced Leadership Initiative.)
- 28 Jan 2020
- Book
Advanced Leadership Requires More Than Outside-The-Box Thinking
change. Look at how we personify buildings: “Headquarters wants . ” “The Pentagon says ....” In today’s fast-paced world, fixed structures can weigh you down, can make agility and resilience very difficult, and can stifle the...
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Keywords:
by Sean Silverthorne
- 15 Oct 2001
- Op-Ed
Lessons from the Rubble
take care of things while the folks in the Pentagon figured out what to do next. In the days and weeks to come, Americans will undoubtedly welcome government back into many aspects of market life: into airports and buildings, rental cars,...
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Keywords:
by Debora L. Spar
- 16 May 2012
- Research & Ideas
Can Decades of Military Overspending be Fixed?
solutions to defense management problems in the past have been undermined in one of two ways. The first is lack of continuity. When a Pentagon official introduces specific acquisition reforms, there is often a flurry of activity, and for...
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- 11 Sep 2006
- Research & Ideas
Negotiating When the Rules Suddenly Change
maneuver strategy in the military. Much of the best contemporary thinking in this realm was advanced by the late Colonel John Boyd, a Pentagon maverick. His decision-making model has become influential in the United States and abroad, in...
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- 19 Nov 2007
- Lessons from the Classroom
Teaching The Moral Leader
was publisher of the Washington Post during the Watergate investigation. Coming hard upon the heels of her decision to brave the wrath of the Nixon administration and publish a series of articles based on the Pentagon Papers, Graham had...
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- 08 Feb 2011
- First Look
First Look: Feb. 8
organisation). Nonetheless, when they do occur they tend to be of defining importance to the people and institutions that are thrust into them and that must find their way through them. September 11, 2001 in Manhattan and at the Pentagon...
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Keywords:
Sean Silverthorne