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| Abstract: | In this paper some properties of fuzzy bridges are studied.A characterization of fuzzy trees is obtained using these concepts. |
| URI: | http://dyuthi.cusat.ac.in/purl/2860 |
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| Dyuthi-P00403.pdf | (314.0Kb) |
| Abstract: | The concept of convex extendability is introduced to answer the problem of finding the smallest distance convex simple graph containing a given tree. A problem of similar type with respect to minimal path convexity is also discussed. |
| URI: | http://dyuthi.cusat.ac.in/purl/2861 |
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| Dyuthi-P00404.pdf | (88.02Kb) |
| Abstract: | The energy of a graph G is the sum of the absolute values of its eigenvalues. In this paper, we study the energies of some classes of non-regular graphs. Also the spectrum of some non-regular graphs and their complements are discussed. |
| URI: | http://dyuthi.cusat.ac.in/xmlui/purl/2038 |
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| Energies of some non regular...pdf | (143.7Kb) |
| Abstract: | Abstract. The paper deals with graph operators-the Gallai graphs and the anti-Gallai graphs. We prove the existence of a finite family of forbidden subgraphs for the Gallai graphs and the anti-Gallai graphs to be H-free for any finite graph H. The case of complement reducible graphs-cographs is discussed in detail. Some relations between the chromatic number, the radius and the diameter of a graph and its Gallai and anti-Gallai graphs are also obtained. |
| URI: | http://dyuthi.cusat.ac.in/purl/1538 |
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| Gallai and anti-gallai graphs of graph.PDF | (4.252Mb) |
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