… induced saturation number of many common graphs is zero. Consequently, this yields graphs,
instead of trigraphs, that are H-induced-saturated… new parameter for such graphs, indsat∗(…

… graphs H for which H -induced-saturated graph G exists, and asked if there exists a P n -induced-saturated
graph … short note is to show that there exists a P 6 -induced-saturated graph. …

… H -induced-saturated graphs. It is shown that Cartesian products of cliques are H -induced-saturated
graphs … A complete characterization of all connected graphs H for which a Cartesian …

… saturation problems in extremal graph theory. This chapter provides a brief introduction
to saturation … in this thesis: rainbow saturation and weak saturation. Additional history and …

… concerning graphs that are ‘related’ to minimum Kp-saturated graphs, such as the saturation
… of degree less than k - 2 must induce a complete graph. The number of edges in such a …

… We really prove a bit more: we show, by induction, that H i is weakly K s -saturated in urn:x-wiley:10429832:media:rsa20703:rsa20703-math-0287
for every i. This is clearly true for i = 0: …

… problem of graph saturation as it pertains to induced graphs, in … are non-trivial induced
saturated graphs for an infinite family of … We continue on to demonstrate results regarding induced …

… graphs H for which H-induced-saturated graphs exist. For instance, if |V (H)| ̸= 2 and one of
H or H is complete, then H-induced-saturated graphs … of Pt-induced-saturated graphs for all t …

… Since G must be connected there is a subgraph H′ of order 5 that contains an induced
K2,3 − e and the graph induced by G − E(H′) is a forest. This follows from the fact that if |E(H′)| …

… Next we prove by induction on i that if we take any two columns j1 and j2 that correspond
to different blocks in the ith row, then these two columns and the first i rows of the matrix L …