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Discrete Mathematics and Combinatorics Commons™
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- Combinatorial analysis (3)
- Combinatorics (3)
- Combinatorial optimization (2)
- Graph theory (2)
- Card craps (1)
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- Cloud computing (1)
- Combinatorial packing and covering (1)
- Computer scheduling (1)
- Craps (1)
- Data structures (Computer science) (1)
- Dice (1)
- Dice control (1)
- Flow shop (1)
- Graphical permutations (1)
- Nonstandard dice (1)
- Pascal's triangle (1)
- Permutations (1)
- Pi (1)
- Probability (1)
- Production scheduling (1)
- Scheduling (1)
- Simulated annealing (Mathematics) (1)
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Articles 1 - 7 of 7
Full-Text Articles in Discrete Mathematics and Combinatorics
Nonstandard Dice That Both Count For Card Craps, Mark Bollman
Nonstandard Dice That Both Count For Card Craps, Mark Bollman
International Conference on Gambling & Risk Taking
The Pala Casino in California deals Card Craps using a red die numbered {2; 2; 2; 5; 5; 5} and a blue die numbered {3; 3; 3; 4; 4; 4}. Two cards from a special 36-card deck, which contains one card bearing each of the 36 ways in which two dice can land when rolled, are dealt: one each face down to a red space and a blue space. When the dice are rolled, the higher number determines which of the cards is flipped over.
A moment's reflection reveals that Pala's blue die is unnecessary. The card selection process can …
Golden Arm: A Probabilistic Study Of Dice Control In Craps, Donald R. Smith, Robert Scott Iii
Golden Arm: A Probabilistic Study Of Dice Control In Craps, Donald R. Smith, Robert Scott Iii
UNLV Gaming Research & Review Journal
This paper calculates how much control a craps shooter must possess on dice outcomes to eliminate the house advantage. A golden arm is someone who has dice control (or a rhythm roller or dice influencer). There are various strategies for dice control in craps. We discuss several possibilities of dice control that would result in several different mathematical models of control. We do not assert whether dice control is possible or not (there is a lack of published evidence). However, after studying casino-legal methods described by dice-control advocates, we can see only one realistic mathematical model that describes the resulting …
A Study Of Graphical Permutations, Jessica Thune
A Study Of Graphical Permutations, Jessica Thune
UNLV Theses, Dissertations, Professional Papers, and Capstones
A permutation π on a set of positive integers {a_1,a_2,...,a_n} is said to be graphical if there exists a graph containing exactly a_i vertices of degree (a_i) for each i. It has been shown that for positive integers with a_1
Generalizations Of Pascal's Triangle: A Construction Based Approach, Michael Anton Kuhlmann
Generalizations Of Pascal's Triangle: A Construction Based Approach, Michael Anton Kuhlmann
UNLV Theses, Dissertations, Professional Papers, and Capstones
The study of this paper is based on current generalizations of Pascal's Triangle, both the expansion of the polynomial of one variable and the multivariate case. Our goal is to establish relationships between these generalizations, and to use the properties of the generalizations to create a new type of generalization for the multivariate case that can be represented in the third dimension.
In the first part of this paper we look at Pascal's original Triangle with properties and classical applications. We then look at contemporary extensions of the triangle to coefficient arrays for polynomials of two forms. The first of …
Simulated Annealing Approach To Flow Shop Scheduling, Sadhana Yellanki
Simulated Annealing Approach To Flow Shop Scheduling, Sadhana Yellanki
UNLV Theses, Dissertations, Professional Papers, and Capstones
Flow Shop Scheduling refers to the process of allotting various jobs to the machines given, such that every job starts to process on a machine n only after it has finished processing on machine n-1, with each job having n operations to be performed one per machine. To find a schedule that leads to the optimal utilization of resources, expects the schedule to finish in a minimum span of time, and also satisfy the optimality criterion set for the related scheduling problem is NP-Hard, if n > 2. In this thesis, we have developed an algorithm adopting a heuristic called Simulated …
A Survey Of Classical And Recent Results In Bin Packing Problem, Yoga Jaideep Darapuneni
A Survey Of Classical And Recent Results In Bin Packing Problem, Yoga Jaideep Darapuneni
UNLV Theses, Dissertations, Professional Papers, and Capstones
In the classical bin packing problem one receives a sequence of n items 1, 2,..., n with sizes s1, s2, . . . ,sn where each item has a fixed size in (0, 1]. One needs to find a partition of the items into sets of size1, called bins, so that the number of sets in the partition is minimized and the sum of the sizes of the pieces assigned to any bin does not exceed its capacity. This combinatorial optimization problem which is NP hard has many variants as well as online and offline versions of the problem. Though …
Zero-Sum Magic Graphs And Their Null Sets, Samuel M. Hansen
Zero-Sum Magic Graphs And Their Null Sets, Samuel M. Hansen
UNLV Theses, Dissertations, Professional Papers, and Capstones
For any element h of the Natural numbers, a graph G=(V,E), with vertex set V and edge set E, is said to be h-magic if there exists a labeling of the edge set E, using the integer group mod h such that the induced vertex labeling, the sum of all edges incident to a vertex, is a constant map. When this constant is 0 we call G a zero-sum h-magic graph. The null set of G is the set of all natural numbers h for which G admits a zero-sum h-magic labeling. A graph G is said to be uniformly …