A note on the intersection graph of the k-ideals of a semiring
Publish place: The International Scientific Conference on Challenges in Engineering, Technology and Applied Sciences
Publish Year: 1396
نوع سند: مقاله کنفرانسی
زبان: English
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شناسه ملی سند علمی:
ICCEAS01_030
تاریخ نمایه سازی: 26 مرداد 1397
Abstract:
Let R be a commutative semiring with identity. The intersection graph GS(R) is defined to be the undirected simple graph whose vertices are non-trivial k-ideals of R and two distinct vertices are adjacent if and only if the corresponding k-ideals of (R) have nonzero intersection. We investigate the interplay between the semiring-theoretic properties of (R) and the graph-theoretic properties of GS(R) . We determine the diameter and the girth of GS(R)
Authors
Fatemeh Esmaeili Khalil Saraei
Fouman Faculty of Engineering, College of Engineering, University of Tehran,P. O. Box. ۴۳۵۱۵-۱۱۵۵, Fouman, Iran