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A note on independent domination in almost-regular graphs.

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Τίτλος: A note on independent domination in almost-regular graphs.
Συγγραφείς: Goddard, Wayne1,2 goddard@clemson.edu, Henning, Michael A.2 mahenning@uj.ac.za
Πηγή: Communications in Combinatorics & Optimization. Dec2026, Vol. 11 Issue 4, p1175-1180. 6p.
Θεματικοί όροι: *Regular graphs, *Dominating set, *Bipartite graphs, *Graph theory
Περίληψη: A classic result in domination theory is that a regular graph has in- dependent domination number at most half the order. We strengthen this result to \almost-regular" graphs by showing that if a graph has minimum degree d > 0 and maximum degree at most d + 3, and the subgraph induced by the vertices of degree d +3 (if any) is bipartite, then the independent domination number is at most half the order. We also discuss related questions. [ABSTRACT FROM AUTHOR]
Βάση Δεδομένων: Academic Search Index
Περιγραφή
ISSN:25382128
DOI:10.22049/cco.2026.31146.2756