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Characterizations of Certain Types of Type 2 Soft Graphs

Author

Listed:
  • Khizar Hayat
  • Bing-Yuan Cao
  • Muhammad Irfan Ali
  • Faruk Karaaslan
  • Zejian Qin

Abstract

The vertex-neighbors correspondence has an essential role in the structure of a graph. The type 2 soft set is also based on the correspondence of initial parameters and underlying parameters. Recently, type 2 soft graphs have been introduced. Structurally, it is a very efficient model of uncertainty to deal with graph neighbors and applicable in applied intelligence, computational analysis, and decision-making. The present paper characterizes type 2 soft graphs on underlying subgraphs (regular subgraphs, irregular subgraphs, cycles, and trees) of a simple graph. We present regular type 2 soft graphs, irregular type 2 soft graphs, and type 2 soft trees. Moreover, we introduce type 2 soft cycles, type 2 soft cut-nodes, and type 2 soft bridges. Finally, we present some operations on type 2 soft trees by presenting several examples to demonstrate these new concepts.

Suggested Citation

  • Khizar Hayat & Bing-Yuan Cao & Muhammad Irfan Ali & Faruk Karaaslan & Zejian Qin, 2018. "Characterizations of Certain Types of Type 2 Soft Graphs," Discrete Dynamics in Nature and Society, Hindawi, vol. 2018, pages 1-15, September.
    • Handle: RePEc:hin:jnddns:8535703
    DOI: 10.1155/2018/8535703
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