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The Shrikhande graph shares these parameters with exactly one other graph, the 4×4 rook's graph, i.e., the line graph L(K 4,4) of the complete bipartite graph K 4,4. The latter graph is the only line graph L ( K n,n ) for which the strong regularity parameters do not determine that graph uniquely but are shared with a different graph, namely ...
Sharadchandra Shankar Shrikhande (19 October 1917 – 21 April 2020) was an Indian mathematician with notable achievements in combinatorial mathematics.He was notable for his breakthrough work along with R. C. Bose and E. T. Parker in their disproof of the famous conjecture made by Leonhard Euler dated 1782 that there do not exist two mutually orthogonal latin squares of order 4n + 2 for any n ...
Manish Pandey India ₹ 2.4 crore (US$280,000) Mustafizur Rahman Bangladesh ₹ 2 crore (US$230,000) Phil Salt England ₹ 2 crore (US$230,000) Kamlesh Nagarkoti India ₹ 1.1 crore (US$130,000) Aman Hakim Khan India ₹ 20 lakh (US$23,000) Ripal Patel India ₹ 20 lakh (US$23,000) Sarfaraz Khan India ₹ 20 lakh (US$23,000) Priyam Garg India
In graph theory, a part of mathematics, a k-partite graph is a graph whose vertices are (or can be) partitioned into k different independent sets. Equivalently, it is a graph that can be colored with k colors, so that no two endpoints of an edge have the same color. When k = 2 these are the bipartite graphs, and when k = 3 they are called the ...
A global characterization of Krausz type for the line graphs of k-uniform linear hypergraphs for any k ≥ 3 was given by Naik, Rao, Shrikhande, and Singhi. [6] At the same time, they found a finite list of forbidden induced subgraphs for linear 3-uniform hypergraphs with minimum vertex degree at least 69.
The auctions for team ownership were held on 24 January 2008. The base price of each team was set at US$ 50 million. The auction fetched a total amount of US$ 723.59 million against the combined base price of US$ 400 million. Mumbai was the most expensive team, costing over US$ 111.9 million.
Manish Pandey India ₹4.60 crore Dushmanta Chameera Sri Lanka ₹2 crore Evin Lewis West Indies ₹2 crore Andrew Tye (REP) Australia ₹1.50 crore Ankit Singh Rajpoot India ₹50 lakh Shahbaz Nadeem India ₹50 lakh Mumbai Indians; Kieron Pollard [a] West Indies ₹6 crore Daniel Sams Australia ₹2.60 crore Murugan Ashwin India ₹1.60 crore
[1] [2] The 7-page book graph of this type provides an example of a graph with no harmonious labeling. [2] A second type, which might be called a triangular book, is the complete tripartite graph K 1,1,p. It is a graph consisting of triangles sharing a common edge. [3] A book of this type is a split graph.