Diameter and girth of the multiplicative zero-divisor graph of multiplicative lattices

DOI10.1142/S1793557116500716zbMath1353.05051MaRDI QIDQ3181164

Vinayak Joshi, Sachin Sarode

Publication date: 22 December 2016

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

minimal prime elementmultiplicative zero-divisor graphreduced multiplicative lattice

Mathematics Subject Classification ID

Coloring of graphs and hypergraphs (05C15) Semilattices (06A12)

Related Items (2)

Distributive lattices with strong endomorphism kernel property as direct sums ⋮ The annihilator graph of a 0-distributive lattice

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Prime ideals in 0-distributive posets
• On the diameter and girth of zero-divisor graphs of posets
• The graph of equivalence classes of zero divisors
• On Beck's coloring of posets
• Some results on abstract commutative ideal theory
• THE ANNIHILATING-IDEAL GRAPH OF COMMUTATIVE RINGS I
• THE ANNIHILATING-IDEAL GRAPH OF COMMUTATIVE RINGS II
• ZERO DIVISOR GRAPHS OF LATTICES AND PRIMAL IDEALS
• AN IDEAL THEORETIC APPROACH TO COMPLETE PARTITE ZERO-DIVISOR GRAPHS OF POSETS

This page was built for publication: Diameter and girth of the multiplicative zero-divisor graph of multiplicative lattices