# Reduction for the Maximum Subforest Problem

I'm trying to find (without luck) the reduction for the Maximum Subforest Problem.

INSTANCE: Tree $G=\left(V,E\right)$ and a set of trees H.

SOLUTION: A subset $E'\subseteq E$ such that the subgraph $G'=\left(V,E'\right)$ does not contain any subtree isomorphic to a tree from H. MEASURE: Cardinality of the subgraph, i.e., $\vert E'\vert$.

Any idea on where I can find a paper or solution for this problem?

-
I don't know. The only reference I found is Ron Shamir and Dekel Tsur, The maximum subforest problem: approximation and exact algorithms (extended abstract), Proceedings of the Ninth Annual ACM-SIAM Symposium on Discrete Algorithms (San Francisco, CA, 1998), 394–399, ACM, New York, 1998. There is also a discussion of maximal subforests in Chapter 2 of Part C of Lucchesi et al, Aspectos teóricos da computaç ao, Projeto Euclides, 8, Instituto de Matemática Pura e Aplicada, Rio de Janeiro, 1979, but it's in Portugese. –  Gerry Myerson Jun 29 '11 at 1:31
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.8949118852615356, "perplexity": 1041.9575945052516}, "config": {"markdown_headings": true, "markdown_code": false, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2015-35/segments/1440645241661.64/warc/CC-MAIN-20150827031401-00190-ip-10-171-96-226.ec2.internal.warc.gz"}