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Narsingh Deo (January 2, 1936 – January 13, 2023) was an Indian-American computer scientist. He served as a professor and the Charles N. Millican Endowed Chair of the Department of Computer Science, University of Central Florida .
Deo, Narsingh (1974). Graph Theory with Applications to Engineering and Computer Science (PDF). Englewood, New Jersey: Prentice-Hall. ISBN 0-13-363473-6. Archived (PDF) from the original on 2019-05-17. Gibbons, Alan (1985). Algorithmic Graph Theory. Cambridge University Press. Golumbic, Martin (1980). Algorithmic Graph Theory and Perfect Graphs.
Shortest path (A, C, E, D, F), blue, between vertices A and F in the weighted directed graph. In graph theory, the shortest path problem is the problem of finding a path between two vertices (or nodes) in a graph such that the sum of the weights of its constituent edges is minimized.
In graph theory, a tree is an undirected graph in which any two vertices are connected by exactly one path, or equivalently a connected acyclic undirected graph. [1] A forest is an undirected graph in which any two vertices are connected by at most one path, or equivalently an acyclic undirected graph, or equivalently a disjoint union of trees. [2]
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When the degree is less than or equal to 2 or the diameter is less than or equal to 1, the problem becomes trivial, solved by the cycle graph and complete graph respectively. In graph theory, the degree diameter problem is the problem of finding the largest possible graph G (in terms of the size of its vertex set V) of diameter k such that the ...
A cubic (but not bridgeless) graph with no perfect matching, showing that the bridgeless condition in Petersen's theorem cannot be omitted. In the mathematical discipline of graph theory, Petersen's theorem, named after Julius Petersen, is one of the earliest results in graph theory and can be stated as follows: Petersen's Theorem.
The induced subgraphs of this graph are called unit distance graphs. A seven-vertex unit distance graph, the Moser spindle, requires four colors; in 2018, much larger unit distance graphs were found that require five colors. [6] The whole infinite graph has a known coloring with seven colors based on a hexagonal tiling of the plane.